8x^5*-3x^4=x

Solution for 8x^5*-3x^4=x equation:

Simplifying
8x5 * -3x4 = x

Reorder the terms for easier multiplication:
8 * -3x5 * x4 = x

Multiply 8 * -3
-24x5 * x4 = x

Multiply x5 * x4
-24x9 = x

Solving
-24x9 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -24x9 = x + -1x

Combine like terms: x + -1x = 0
-1x + -24x9 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 24x8) = 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 + 24x8)' equal to zero and attempt to solve:

Simplifying
1 + 24x8 = 0

Solving
1 + 24x8 = 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 + 24x8 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 24x8 = 0 + -1
24x8 = 0 + -1

Combine like terms: 0 + -1 = -1
24x8 = -1

Divide each side by '24'.
x8 = -0.04166666667

Simplifying
x8 = -0.04166666667

The solution to this equation could not be determined.

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