9x^2-6=4x^2+20

Solution for 9x^2-6=4x^2+20 equation:

Simplifying
9x2 + -6 = 4x2 + 20

Reorder the terms:
-6 + 9x2 = 4x2 + 20

Reorder the terms:
-6 + 9x2 = 20 + 4x2

Solving
-6 + 9x2 = 20 + 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.
-6 + 9x2 + -4x2 = 20 + 4x2 + -4x2

Combine like terms: 9x2 + -4x2 = 5x2
-6 + 5x2 = 20 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + 5x2 = 20 + 0
-6 + 5x2 = 20

Add '6' to each side of the equation.
-6 + 6 + 5x2 = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 5x2 = 20 + 6
5x2 = 20 + 6

Combine like terms: 20 + 6 = 26
5x2 = 26

Divide each side by '5'.
x2 = 5.2

Simplifying
x2 = 5.2

Take the square root of each side:
x = {-2.28035085, 2.28035085}