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Simplifying -1(-4m + 7) * m = 0 Reorder the terms: -1(7 + -4m) * m = 0 Reorder the terms for easier multiplication: -1m(7 + -4m) = 0 (7 * -1m + -4m * -1m) = 0 (-7m + 4m2) = 0 Solving -7m + 4m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-7 + 4m) = 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 '(-7 + 4m)' equal to zero and attempt to solve: Simplifying -7 + 4m = 0 Solving -7 + 4m = 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 + 4m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4m = 0 + 7 4m = 0 + 7 Combine like terms: 0 + 7 = 7 4m = 7 Divide each side by '4'. m = 1.75 Simplifying m = 1.75Solution
m = {0, 1.75}
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