5*x^2-55=90

Solution for 5*x^2-55=90 equation:

Simplifying
5x2 + -55 = 90

Reorder the terms:
-55 + 5x2 = 90

Solving
-55 + 5x2 = 90

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 5x2 = 90 + 55

Combine like terms: -55 + 55 = 0
0 + 5x2 = 90 + 55
5x2 = 90 + 55

Combine like terms: 90 + 55 = 145
5x2 = 145

Divide each side by '5'.
x2 = 29

Simplifying
x2 = 29

Take the square root of each side:
x = {-5.385164807, 5.385164807}