4x^2-75+90=180

Solution for 4x^2-75+90=180 equation:

Simplifying
4x2 + -75 + 90 = 180

Reorder the terms:
-75 + 90 + 4x2 = 180

Combine like terms: -75 + 90 = 15
15 + 4x2 = 180

Solving
15 + 4x2 = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + 4x2 = 180 + -15

Combine like terms: 15 + -15 = 0
0 + 4x2 = 180 + -15
4x2 = 180 + -15

Combine like terms: 180 + -15 = 165
4x2 = 165

Divide each side by '4'.
x2 = 41.25

Simplifying
x2 = 41.25

Take the square root of each side:
x = {-6.422616289, 6.422616289}