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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 = -12Solution
x = {-12}
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