10x^2(-2x^6)=x

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

Simplifying
10x2(-2x6) = x

Remove parenthesis around (-2x6)
10x2 * -2x6 = x

Reorder the terms for easier multiplication:
10 * -2x2 * x6 = x

Multiply 10 * -2
-20x2 * x6 = x

Multiply x2 * x6
-20x8 = x

Solving
-20x8 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -20x8 = x + -1x

Combine like terms: x + -1x = 0
-1x + -20x8 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 20x7) = 0

Ignore the factor -1.
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 + 20x7)' equal to zero and attempt to solve:

Simplifying
1 + 20x7 = 0

Solving
1 + 20x7 = 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 + 20x7 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 20x7 = 0 + -1
20x7 = 0 + -1

Combine like terms: 0 + -1 = -1
20x7 = -1

Divide each side by '20'.
x7 = -0.05

Simplifying
x7 = -0.05

The solution to this equation could not be determined.

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