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Simplifying x7m + 2x4m + -15xm = 0 Reorder the terms: -15mx + 2mx4 + mx7 = 0 Solving -15mx + 2mx4 + mx7 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'mx'. mx(-15 + 2x3 + x6) = 0 Factor a trinomial. mx((-5 + -1x3)(3 + -1x3)) = 0Subproblem 1
Set the factor 'mx' equal to zero and attempt to solve: Simplifying mx = 0 Solving mx = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mx = 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 '(-5 + -1x3)' equal to zero and attempt to solve: Simplifying -5 + -1x3 = 0 Solving -5 + -1x3 = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x3 = 0 + 5 -1x3 = 0 + 5 Combine like terms: 0 + 5 = 5 -1x3 = 5 Add 'x3' to each side of the equation. -1x3 + x3 = 5 + x3 Combine like terms: -1x3 + x3 = 0 0 = 5 + x3 Simplifying 0 = 5 + x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1x3)' equal to zero and attempt to solve: Simplifying 3 + -1x3 = 0 Solving 3 + -1x3 = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x3 = 0 + -3 -1x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x3 = -3 Add 'x3' to each side of the equation. -1x3 + x3 = -3 + x3 Combine like terms: -1x3 + x3 = 0 0 = -3 + x3 Simplifying 0 = -3 + x3 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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