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Simplifying m2 + -9m + -4 = -7m + -4 Reorder the terms: -4 + -9m + m2 = -7m + -4 Reorder the terms: -4 + -9m + m2 = -4 + -7m Add '4' to each side of the equation. -4 + -9m + 4 + m2 = -4 + 4 + -7m Reorder the terms: -4 + 4 + -9m + m2 = -4 + 4 + -7m Combine like terms: -4 + 4 = 0 0 + -9m + m2 = -4 + 4 + -7m -9m + m2 = -4 + 4 + -7m Combine like terms: -4 + 4 = 0 -9m + m2 = 0 + -7m -9m + m2 = -7m Solving -9m + m2 = -7m Solving for variable 'm'. Reorder the terms: -9m + 7m + m2 = -7m + 7m Combine like terms: -9m + 7m = -2m -2m + m2 = -7m + 7m Combine like terms: -7m + 7m = 0 -2m + m2 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(-2 + m) = 0Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(-2 + m)' equal to zero and attempt to solve: Simplifying -2 + m = 0 Solving -2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + m = 0 + 2 m = 0 + 2 Combine like terms: 0 + 2 = 2 m = 2 Simplifying m = 2Solution
m = {0, 2}
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