20x^3*80x^2+60x=0

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Solution for 20x^3*80x^2+60x=0 equation:


Simplifying
20x3 * 80x2 + 60x = 0

Reorder the terms for easier multiplication:
20 * 80x3 * x2 + 60x = 0

Multiply 20 * 80
1600x3 * x2 + 60x = 0

Multiply x3 * x2
1600x5 + 60x = 0

Reorder the terms:
60x + 1600x5 = 0

Solving
60x + 1600x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(3 + 80x4) = 0

Ignore the factor 20.

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 '(3 + 80x4)' equal to zero and attempt to solve: Simplifying 3 + 80x4 = 0 Solving 3 + 80x4 = 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 + 80x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 80x4 = 0 + -3 80x4 = 0 + -3 Combine like terms: 0 + -3 = -3 80x4 = -3 Divide each side by '80'. x4 = -0.0375 Simplifying x4 = -0.0375 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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