x=6(x^2)-4(x^2)(8)

Solution for x=6(x^2)-4(x^2)(8) equation:

Simplifying
x = 6(x2) + -4(x2)(8)

Reorder the terms for easier multiplication:
x = 6x2 + -4 * 8x2

Multiply -4 * 8
x = 6x2 + -32x2

Combine like terms: 6x2 + -32x2 = -26x2
x = -26x2

Solving
x = -26x2

Solving for variable 'x'.

Combine like terms: -26x2 + 26x2 = 0
x + 26x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 26x) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + 26x)' equal to zero and attempt to solve:

Simplifying
1 + 26x = 0

Solving
1 + 26x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 26x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 26x = 0 + -1
26x = 0 + -1

Combine like terms: 0 + -1 = -1
26x = -1

Divide each side by '26'.
x = -0.03846153846

Simplifying
x = -0.03846153846
Solution
x = {0, -0.03846153846}