60x^5+120x^4+60x^3=0

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Solution for 60x^5+120x^4+60x^3=0 equation:


Simplifying
60x5 + 120x4 + 60x3 = 0

Reorder the terms:
60x3 + 120x4 + 60x5 = 0

Solving
60x3 + 120x4 + 60x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '60x3'.
60x3(1 + 2x + x2) = 0

Factor a trinomial.
60x3((1 + x)(1 + x)) = 0

Ignore the factor 60.

Subproblem 1

Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Subproblem 3

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {-1, -1}

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