Algebra Examples

$π^{2} + \frac{π}{3} = \frac{1}{6}$

Step 1

Subtract $\frac{1}{6}$ from both sides of the equation.

$π^{2} + \frac{π}{3} - \frac{1}{6} = 0$

Step 2

Simplify ${(3.14159265)}^{2} + \frac{3.14159265}{3} - \frac{1}{6}$ .

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Step 2.1

Find the common denominator.

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Step 2.1.1

Write ${(3.14159265)}^{2}$ as a fraction with denominator $1$ .

$\frac{{(3.14159265)}^{2}}{1} + \frac{3.14159265}{3} - \frac{1}{6} = 0$

Step 2.1.2

Multiply $\frac{{(3.14159265)}^{2}}{1}$ by $\frac{6}{6}$ .

$\frac{{(3.14159265)}^{2}}{1} \cdot \frac{6}{6} + \frac{3.14159265}{3} - \frac{1}{6} = 0$

Step 2.1.3

Multiply $\frac{{(3.14159265)}^{2}}{1}$ by $\frac{6}{6}$ .

$\frac{{(3.14159265)}^{2} \cdot 6}{6} + \frac{3.14159265}{3} - \frac{1}{6} = 0$

Step 2.1.4

Multiply $\frac{3.14159265}{3}$ by $\frac{2}{2}$ .

$\frac{{(3.14159265)}^{2} \cdot 6}{6} + \frac{3.14159265}{3} \cdot \frac{2}{2} - \frac{1}{6} = 0$

Step 2.1.5

Multiply $\frac{3.14159265}{3}$ by $\frac{2}{2}$ .

$\frac{{(3.14159265)}^{2} \cdot 6}{6} + \frac{3.14159265 \cdot 2}{3 \cdot 2} - \frac{1}{6} = 0$

Step 2.1.6

Reorder the factors of $3 \cdot 2$ .

$\frac{{(3.14159265)}^{2} \cdot 6}{6} + \frac{3.14159265 \cdot 2}{2 \cdot 3} - \frac{1}{6} = 0$

Step 2.1.7

Multiply $2$ by $3$ .

$\frac{{(3.14159265)}^{2} \cdot 6}{6} + \frac{3.14159265 \cdot 2}{6} - \frac{1}{6} = 0$

Step 2.2

Combine the numerators over the common denominator.

$\frac{{(3.14159265)}^{2} \cdot 6 + 3.14159265 \cdot 2 - 1}{6} = 0$

Step 2.3

Simplify each term.

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Step 2.3.1

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

$\frac{9.8696044 \cdot 6 + 3.14159265 \cdot 2 - 1}{6} = 0$

Step 2.3.2

Multiply $9.8696044$ by $6$ .

$\frac{59.2176264 + 3.14159265 \cdot 2 - 1}{6} = 0$

Step 2.3.3

Multiply $3.14159265$ by $2$ .

$\frac{59.2176264 + 6.2831853 - 1}{6} = 0$

Step 2.4

Simplify the expression.

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Step 2.4.1

Add $59.2176264$ and $6.2831853$ .

$\frac{65.50081171 - 1}{6} = 0$

Step 2.4.2

Subtract $1$ from $65.50081171$ .

$\frac{64.50081171}{6} = 0$

Step 2.4.3

Divide $64.50081171$ by $6$ .

$10.75013528 = 0$

Step 3

Since $10.75013528 \neq 0$ , there are no solutions.

No solution