Solve 62x*1/22x-(-32x)*2(-82x)+(-3/22x)]

$$62 x \cdot \frac { 1 } { 2 } 2 x - ( - 32 x ) \cdot 2 ( - 82 x ) + ( - \frac { 3 } { 2 } 2 x ) ]$$

Evaluate

$$-x\left(5186x+3\right)$$

Solution Steps

Multiply x and x to get x^{2}.

$$62x^{2}\times \frac{1}{2}\times 2-\left(-32x\times 2\left(-82\right)x\right)-\frac{3}{2}\times 2x$$

Multiply x and x to get x^{2}.

$$62x^{2}\times \frac{1}{2}\times 2-\left(-32x^{2}\times 2\left(-82\right)\right)-\frac{3}{2}\times 2x$$

Multiply 62 and \frac{1}{2} to get \frac{62}{2}.

$$\frac{62}{2}x^{2}\times 2-\left(-32x^{2}\times 2\left(-82\right)\right)-\frac{3}{2}\times 2x$$

Divide 62 by 2 to get 31.

$$31x^{2}\times 2-\left(-32x^{2}\times 2\left(-82\right)\right)-\frac{3}{2}\times 2x$$

Multiply 31 and 2 to get 62.

$$62x^{2}-\left(-32x^{2}\times 2\left(-82\right)\right)-\frac{3}{2}\times 2x$$

Multiply -32 and 2 to get -64.

$$62x^{2}-\left(-64x^{2}\left(-82\right)\right)-\frac{3}{2}\times 2x$$

Multiply -64 and -82 to get 5248.

$$62x^{2}-5248x^{2}-\frac{3}{2}\times 2x$$

Combine 62x^{2} and -5248x^{2} to get -5186x^{2}.

$$-5186x^{2}-\frac{3}{2}\times 2x$$

Cancel out 2 and 2.

$$-5186x^{2}-3x$$

Factor

$$-x\left(5186x+3\right)$$

Solution Steps

Factor out 2x.

$$2x\left(31x-2624x-\frac{3}{2}\right)$$

Consider 31x-2624x-\frac{3}{2}. Factor out \frac{1}{2}.

$$\frac{62x-5248x-3}{2}$$

Consider 62x-5248x-3. Multiply and combine like terms.

$$-5186x-3$$

Rewrite the complete factored expression.

$$x\left(-5186x-3\right)$$