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Simplifying (10x + -7) * mx(15x + -3) * m = 0 Reorder the terms: (-7 + 10x) * mx(15x + -3) * m = 0 Reorder the terms: (-7 + 10x) * mx(-3 + 15x) * m = 0 Reorder the terms for easier multiplication: mx * m(-7 + 10x)(-3 + 15x) = 0 Multiply mx * m m2x(-7 + 10x)(-3 + 15x) = 0 Multiply (-7 + 10x) * (-3 + 15x) m2x(-7(-3 + 15x) + 10x * (-3 + 15x)) = 0 m2x((-3 * -7 + 15x * -7) + 10x * (-3 + 15x)) = 0 m2x((21 + -105x) + 10x * (-3 + 15x)) = 0 m2x(21 + -105x + (-3 * 10x + 15x * 10x)) = 0 m2x(21 + -105x + (-30x + 150x2)) = 0 Combine like terms: -105x + -30x = -135x m2x(21 + -135x + 150x2) = 0 (21 * m2x + -135x * m2x + 150x2 * m2x) = 0 (21m2x + -135m2x2 + 150m2x3) = 0 Solving 21m2x + -135m2x2 + 150m2x3 = 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), '3m2x'. 3m2x(7 + -45x + 50x2) = 0 Factor a trinomial. 3m2x((1 + -5x)(7 + -10x)) = 0 Ignore the factor 3.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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Add '5x' to each side of the equation. -5x + 5x = -1 + 5x Combine like terms: -5x + 5x = 0 0 = -1 + 5x Simplifying 0 = -1 + 5x 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 '(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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