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Simplifying 3x8 + -9x4 + -120 = 0 Reorder the terms: -120 + -9x4 + 3x8 = 0 Solving -120 + -9x4 + 3x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-40 + -3x4 + x8) = 0 Factor a trinomial. 3((-5 + -1x4)(8 + -1x4)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -1x4)' equal to zero and attempt to solve: Simplifying -5 + -1x4 = 0 Solving -5 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x4 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x4 = 0 + 5 -1x4 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x4 = 5 Divide each side by '-1'. x4 = -5 Simplifying x4 = -5 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 '(8 + -1x4)' equal to zero and attempt to solve: Simplifying 8 + -1x4 = 0 Solving 8 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x4 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x4 = 0 + -8 -1x4 = 0 + -8 Combine like terms: 0 + -8 = -8 -1x4 = -8 Divide each side by '-1'. x4 = 8 Simplifying x4 = 8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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