5x^2-0=x^2+90

Solution for 5x^2-0=x^2+90 equation:

Simplifying
5x2 + 0 = x2 + 90

Reorder the terms:
0 + 5x2 = x2 + 90
Remove the zero:
5x2 = x2 + 90

Reorder the terms:
5x2 = 90 + x2

Solving
5x2 = 90 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
5x2 + -1x2 = 90 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
4x2 = 90 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4x2 = 90 + 0
4x2 = 90

Divide each side by '4'.
x2 = 22.5

Simplifying
x2 = 22.5

Take the square root of each side:
x = {-4.74341649, 4.74341649}