-7x^5*(3x^2)=x

Solution for -7x^5*(3x^2)=x equation:

Simplifying
-7x5(3x2) = x

Remove parenthesis around (3x2)
-7x5 * 3x2 = x

Reorder the terms for easier multiplication:
-7 * 3x5 * x2 = x

Multiply -7 * 3
-21x5 * x2 = x

Multiply x5 * x2
-21x7 = x

Solving
-21x7 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -21x7 = x + -1x

Combine like terms: x + -1x = 0
-1x + -21x7 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 21x6) = 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 + 21x6)' equal to zero and attempt to solve:

Simplifying
1 + 21x6 = 0

Solving
1 + 21x6 = 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 + 21x6 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 21x6 = 0 + -1
21x6 = 0 + -1

Combine like terms: 0 + -1 = -1
21x6 = -1

Divide each side by '21'.
x6 = -0.04761904762

Simplifying
x6 = -0.04761904762

The solution to this equation could not be determined.

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