10x^2(-8x^3+6)=

Solution for 10x^2(-8x^3+6)= equation:

Simplifying
10x2(-8x3 + 6) = 0

Reorder the terms:
10x2(6 + -8x3) = 0
(6 * 10x2 + -8x3 * 10x2) = 0
(60x2 + -80x5) = 0

Solving
60x2 + -80x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x2'.
20x2(3 + -4x3) = 0

Ignore the factor 20.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(3 + -4x3)' equal to zero and attempt to solve:

Simplifying
3 + -4x3 = 0

Solving
3 + -4x3 = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4x3 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x3 = 0 + -3
-4x3 = 0 + -3

Combine like terms: 0 + -3 = -3
-4x3 = -3

Divide each side by '-4'.
x3 = 0.75

Simplifying
x3 = 0.75

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}