Algebra Examples

$\frac{π}{2 π + 1} - \frac{2 π^{2} + 5}{2 π^{2} - 7 π - 4} = - \frac{5}{π - 4}$

Step 1

Simplify $\frac{3.14159265}{2 (3.14159265) + 1} - \frac{2 {(3.14159265)}^{2} + 5}{2 {(3.14159265)}^{2} - 7 \cdot 3.14159265 - 4}$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Simplify the denominator.

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Step 1.1.1.1

Multiply $2$ by $3.14159265$ .

$\frac{3.14159265}{6.2831853 + 1} - \frac{2 {(3.14159265)}^{2} + 5}{2 {(3.14159265)}^{2} - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.1.2

Add $6.2831853$ and $1$ .

$\frac{3.14159265}{7.2831853} - \frac{2 {(3.14159265)}^{2} + 5}{2 {(3.14159265)}^{2} - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.2

Divide $3.14159265$ by $7.2831853$ .

$0.43134871 - \frac{2 {(3.14159265)}^{2} + 5}{2 {(3.14159265)}^{2} - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.3

Simplify the numerator.

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Step 1.1.3.1

Raise $3.14159265$ to the power of $2$ .

$0.43134871 - \frac{2 \cdot 9.8696044 + 5}{2 \cdot {3.14159265}^{2} - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.3.2

Multiply $2$ by $9.8696044$ .

$0.43134871 - \frac{19.7392088 + 5}{2 \cdot {3.14159265}^{2} - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.3.3

Add $19.7392088$ and $5$ .

$0.43134871 - \frac{24.7392088}{2 \cdot {3.14159265}^{2} - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.4

Simplify the denominator.

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Step 1.1.4.1

Raise $3.14159265$ to the power of $2$ .

$0.43134871 - \frac{24.7392088}{2 \cdot 9.8696044 - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.4.2

Multiply $2$ by $9.8696044$ .

$0.43134871 - \frac{24.7392088}{19.7392088 - 7 \cdot 3.14159265 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.4.3

Multiply $- 7$ by $3.14159265$ .

$0.43134871 - \frac{24.7392088}{19.7392088 - 21.99114857 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.4.4

Subtract $21.99114857$ from $19.7392088$ .

$0.43134871 - \frac{24.7392088}{- 2.25193977 - 4} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.4.5

Subtract $4$ from $- 2.25193977$ .

$0.43134871 - \frac{24.7392088}{- 6.25193977} = - \frac{5}{(3.14159265) - 4}$

Step 1.1.5

Divide $24.7392088$ by $- 6.25193977$ .

$0.43134871 - - 3.95704528 = - \frac{5}{(3.14159265) - 4}$

Step 1.1.6

Multiply $- 1$ by $- 3.95704528$ .

$0.43134871 + 3.95704528 = - \frac{5}{(3.14159265) - 4}$

Step 1.2

Add $0.43134871$ and $3.95704528$ .

$4.388394 = - \frac{5}{(3.14159265) - 4}$

Step 2

Simplify $- \frac{5}{(3.14159265) - 4}$ .

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Step 2.1

Subtract $4$ from $3.14159265$ .

$4.388394 = - \frac{5}{- 0.85840734}$

Step 2.2

Divide $5$ by $- 0.85840734$ .

$4.388394 = - - 5.82474045$

Step 2.3

Multiply $- 1$ by $- 5.82474045$ .

$4.388394 = 5.82474045$

Step 3

Since $4.388394 \neq 5.82474045$ , there are no solutions.

No solution