Solve 15x^2-42x-4x^2-2x+3x^2-12x

$$15 x ^ { 2 } - 42 x - 4 x ^ { 2 } - 2 x + 3 x ^ { 2 } - 12 x$$

Evaluate

$$14x\left(x-4\right)$$

Solution Steps

Combine 15x^{2} and -4x^{2} to get 11x^{2}.

$$11x^{2}-42x-2x+3x^{2}-12x$$

Combine -42x and -2x to get -44x.

$$11x^{2}-44x+3x^{2}-12x$$

Combine 11x^{2} and 3x^{2} to get 14x^{2}.

$$14x^{2}-44x-12x$$

Combine -44x and -12x to get -56x.

$$14x^{2}-56x$$

Factor

$$14x\left(x-4\right)$$

Solution Steps

Factor out x.

$$x\left(14x-56\right)$$

Consider 15x-42-4x-2+3x-12. Multiply and combine like terms.

$$14x-56$$

Consider 14x-56. Factor out 14.

$$14\left(x-4\right)$$

Rewrite the complete factored expression.

$$14x\left(x-4\right)$$