Algebra Examples

$2 x^{2} - 3 x + 10 = 2 x^{2} + 21$

Step 1

Move all terms to the left side of the equation and simplify.

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Step 1.1

Move all the expressions to the left side of the equation.

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Step 1.1.1

Subtract $2 x^{2}$ from both sides of the equation.

$2 x^{2} - 3 x + 10 - 2 x^{2} = 21$

Step 1.1.2

Subtract $21$ from both sides of the equation.

$2 x^{2} - 3 x + 10 - 2 x^{2} - 21 = 0$

Step 1.2

Simplify $2 x^{2} - 3 x + 10 - 2 x^{2} - 21$ .

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Step 1.2.1

Combine the opposite terms in $2 x^{2} - 3 x + 10 - 2 x^{2} - 21$ .

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Step 1.2.1.1

Subtract $2 x^{2}$ from $2 x^{2}$ .

$- 3 x + 10 + 0 - 21 = 0$

Step 1.2.1.2

Add $- 3 x + 10$ and $0$ .

$- 3 x + 10 - 21 = 0$

Step 1.2.2

Subtract $21$ from $10$ .

$- 3 x - 11 = 0$

Step 2

Add $11$ to both sides of the equation.

$- 3 x = 11$

Step 3

Divide each term in $- 3 x = 11$ by $- 3$ and simplify.

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Step 3.1

Divide each term in $- 3 x = 11$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{11}{- 3}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 3$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{11}{- 3}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{11}{- 3}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$x = - \frac{11}{3}$