5x^2+36=9x^2

Solution for 5x^2+36=9x^2 equation:

Simplifying
5x2 + 36 = 9x2

Reorder the terms:
36 + 5x2 = 9x2

Solving
36 + 5x2 = 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
36 + 5x2 + -9x2 = 9x2 + -9x2

Combine like terms: 5x2 + -9x2 = -4x2
36 + -4x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
36 + -4x2 = 0

Add '-36' to each side of the equation.
36 + -36 + -4x2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -4x2 = 0 + -36
-4x2 = 0 + -36

Combine like terms: 0 + -36 = -36
-4x2 = -36

Divide each side by '-4'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}