8x^2-6=2(3x^2+17)

Solution for 8x^2-6=2(3x^2+17) equation:

Simplifying
8x2 + -6 = 2(3x2 + 17)

Reorder the terms:
-6 + 8x2 = 2(3x2 + 17)

Reorder the terms:
-6 + 8x2 = 2(17 + 3x2)
-6 + 8x2 = (17 * 2 + 3x2 * 2)
-6 + 8x2 = (34 + 6x2)

Solving
-6 + 8x2 = 34 + 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.
-6 + 8x2 + -6x2 = 34 + 6x2 + -6x2

Combine like terms: 8x2 + -6x2 = 2x2
-6 + 2x2 = 34 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6 + 2x2 = 34 + 0
-6 + 2x2 = 34

Add '6' to each side of the equation.
-6 + 6 + 2x2 = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = 34 + 6
2x2 = 34 + 6

Combine like terms: 34 + 6 = 40
2x2 = 40

Divide each side by '2'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}