8x^2-6=4x^2+26

Solution for 8x^2-6=4x^2+26 equation:

Simplifying
8x2 + -6 = 4x2 + 26

Reorder the terms:
-6 + 8x2 = 4x2 + 26

Reorder the terms:
-6 + 8x2 = 26 + 4x2

Solving
-6 + 8x2 = 26 + 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 + 8x2 + -4x2 = 26 + 4x2 + -4x2

Combine like terms: 8x2 + -4x2 = 4x2
-6 + 4x2 = 26 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-6 + 4x2 = 26 + 0
-6 + 4x2 = 26

Add '6' to each side of the equation.
-6 + 6 + 4x2 = 26 + 6

Combine like terms: -6 + 6 = 0
0 + 4x2 = 26 + 6
4x2 = 26 + 6

Combine like terms: 26 + 6 = 32
4x2 = 32

Divide each side by '4'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}