Solve 360+200x^2-36+500(0.324)

$$360 + 200 x ^ { 2 } - 36 + 500 ( 0.324 )$$

Evaluate

$$200x^{2}+486$$

Solution Steps

Subtract 36 from 360 to get 324.

$$324+200x^{2}+500\times 0.324$$

Multiply 500 and 0.324 to get 162.

$$324+200x^{2}+162$$

Add 324 and 162 to get 486.

$$486+200x^{2}$$

Factor

$$2\left(100x^{2}+243\right)$$

Solution Steps

Subtract 36 from 360 to get 324.

$$factor(324+200x^{2}+500\times 0.324)$$

Multiply 500 and 0.324 to get 162.

$$factor(324+200x^{2}+162)$$

Add 324 and 162 to get 486.

$$factor(486+200x^{2})$$

Factor out 2. Polynomial 243+100x^{2} is not factored since it does not have any rational roots.

$$2\left(243+100x^{2}\right)$$