Solve x^2-5x+8-x^2+10x-30-6x^2+5x-50

$${ x }^{ 2 } -5x+8- { x }^{ 2 } +10x-30-6 { x }^{ 2 } +5x-50$$

Evaluate

$$-6x^{2}+10x-72$$

Solution Steps

Combine x^{2} and -x^{2} to get 0.

$$-5x+8+10x-30-6x^{2}+5x-50$$

Combine -5x and 10x to get 5x.

$$5x+8-30-6x^{2}+5x-50$$

Subtract 30 from 8 to get -22.

$$5x-22-6x^{2}+5x-50$$

Combine 5x and 5x to get 10x.

$$10x-22-6x^{2}-50$$

Subtract 50 from -22 to get -72.

$$10x-72-6x^{2}$$

Factor

$$2\left(-3x^{2}+5x-36\right)$$

Solution Steps

Multiply and combine like terms.

$$-6x^{2}+10x-72$$

Factor out 2. Polynomial -3x^{2}+5x-36 is not factored since it does not have any rational roots.

$$2\left(-3x^{2}+5x-36\right)$$