5x^2-90=10+4x^2

Solution for 5x^2-90=10+4x^2 equation:

Simplifying
5x2 + -90 = 10 + 4x2

Reorder the terms:
-90 + 5x2 = 10 + 4x2

Solving
-90 + 5x2 = 10 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-90 + 5x2 + -4x2 = 10 + 4x2 + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
-90 + 1x2 = 10 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-90 + 1x2 = 10 + 0
-90 + 1x2 = 10

Add '90' to each side of the equation.
-90 + 90 + 1x2 = 10 + 90

Combine like terms: -90 + 90 = 0
0 + 1x2 = 10 + 90
1x2 = 10 + 90

Combine like terms: 10 + 90 = 100
1x2 = 100

Divide each side by '1'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}