4x^2-45=85

Solution for 4x^2-45=85 equation:

Simplifying
4x2 + -45 = 85

Reorder the terms:
-45 + 4x2 = 85

Solving
-45 + 4x2 = 85

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 4x2 = 85 + 45

Combine like terms: -45 + 45 = 0
0 + 4x2 = 85 + 45
4x2 = 85 + 45

Combine like terms: 85 + 45 = 130
4x2 = 130

Divide each side by '4'.
x2 = 32.5

Simplifying
x2 = 32.5

Take the square root of each side:
x = {-5.700877125, 5.700877125}