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Simplifying (10x + -7) * mx(15 + -3) * m = 0 Reorder the terms: (-7 + 10x) * mx(15 + -3) * m = 0 Combine like terms: 15 + -3 = 12 (-7 + 10x) * mx(12) * m = 0 Reorder the terms for easier multiplication: 12mx * m(-7 + 10x) = 0 Multiply mx * m 12m2x(-7 + 10x) = 0 (-7 * 12m2x + 10x * 12m2x) = 0 (-84m2x + 120m2x2) = 0 Solving -84m2x + 120m2x2 = 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), '12m2x'. 12m2x(-7 + 10x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'm2x' equal to zero and attempt to solve: Simplifying m2x = 0 Solving m2x = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2x = 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 '(-7 + 10x)' equal to zero and attempt to solve: Simplifying -7 + 10x = 0 Solving -7 + 10x = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 10x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 0 + 7 10x = 0 + 7 Combine like terms: 0 + 7 = 7 10x = 7 Add '-10x' to each side of the equation. 10x + -10x = 7 + -10x Combine like terms: 10x + -10x = 0 0 = 7 + -10x Simplifying 0 = 7 + -10x 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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