15x^2-56=88+6x^2

Solution for 15x^2-56=88+6x^2 equation:

Simplifying
15x2 + -56 = 88 + 6x2

Reorder the terms:
-56 + 15x2 = 88 + 6x2

Solving
-56 + 15x2 = 88 + 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
-56 + 15x2 + -6x2 = 88 + 6x2 + -6x2

Combine like terms: 15x2 + -6x2 = 9x2
-56 + 9x2 = 88 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-56 + 9x2 = 88 + 0
-56 + 9x2 = 88

Add '56' to each side of the equation.
-56 + 56 + 9x2 = 88 + 56

Combine like terms: -56 + 56 = 0
0 + 9x2 = 88 + 56
9x2 = 88 + 56

Combine like terms: 88 + 56 = 144
9x2 = 144

Divide each side by '9'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}