0=(5x^4)+(60x^3)

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


Simplifying
0 = (5x4) + (60x3)

Reorder the terms:
0 = (60x3) + (5x4)

Solving
0 = (60x3) + (5x4)

Solving for variable 'x'.
Remove the zero:
(-60x3) + (-5x4) = (60x3) + (5x4) + (-60x3) + (-5x4)

Reorder the terms:
(-60x3) + (-5x4) = (60x3) + (-60x3) + (5x4) + (-5x4)

Combine like terms: (60x3) + (-60x3) = 0
(-60x3) + (-5x4) = 0 + (5x4) + (-5x4)
(-60x3) + (-5x4) = (5x4) + (-5x4)

Combine like terms: (5x4) + (-5x4) = 0
(-60x3) + (-5x4) = 0

Factor out the Greatest Common Factor (GCF), '-5x3'.
-5x3(12 + x) = 0

Ignore the factor -5.

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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Solution

x = {-12}

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