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Simplifying 10m(5x + -5) * m = 100 Reorder the terms: 10m(-5 + 5x) * m = 100 Reorder the terms for easier multiplication: 10m * m(-5 + 5x) = 100 Multiply m * m 10m2(-5 + 5x) = 100 (-5 * 10m2 + 5x * 10m2) = 100 (-50m2 + 50m2x) = 100 Solving -50m2 + 50m2x = 100 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -100 + -50m2 + 50m2x = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + -50m2 + 50m2x = 0 Factor out the Greatest Common Factor (GCF), '50'. 50(-2 + -1m2 + m2x) = 0 Ignore the factor 50.Subproblem 1
Set the factor '(-2 + -1m2 + m2x)' equal to zero and attempt to solve: Simplifying -2 + -1m2 + m2x = 0 Solving -2 + -1m2 + m2x = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1m2 + 2 + m2x = 0 + 2 Reorder the terms: -2 + 2 + -1m2 + m2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m2 + m2x = 0 + 2 -1m2 + m2x = 0 + 2 Combine like terms: 0 + 2 = 2 -1m2 + m2x = 2 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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