Solve x^2+x^2+129-10x^2-4x^2-9

$$x ^ { 2 } + x ^ { 2 } + 129 - 10 x ^ { 2 } - 4 x ^ { 2 } - 9$$

Evaluate

$$120-12x^{2}$$

Solution Steps

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

$$2x^{2}+129-10x^{2}-4x^{2}-9$$

Combine 2x^{2} and -10x^{2} to get -8x^{2}.

$$-8x^{2}+129-4x^{2}-9$$

Combine -8x^{2} and -4x^{2} to get -12x^{2}.

$$-12x^{2}+129-9$$

Subtract 9 from 129 to get 120.

$$-12x^{2}+120$$

Factor

$$12\left(10-x^{2}\right)$$

Solution Steps

Multiply and combine like terms.

$$-12x^{2}+120$$

Factor out 12. Polynomial -x^{2}+10 is not factored since it does not have any rational roots.

$$12\left(-x^{2}+10\right)$$