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Simplifying 5m(7m + -8) + -6m(m + 2) = 0 Reorder the terms: 5m(-8 + 7m) + -6m(m + 2) = 0 (-8 * 5m + 7m * 5m) + -6m(m + 2) = 0 (-40m + 35m2) + -6m(m + 2) = 0 Reorder the terms: -40m + 35m2 + -6m(2 + m) = 0 -40m + 35m2 + (2 * -6m + m * -6m) = 0 -40m + 35m2 + (-12m + -6m2) = 0 Reorder the terms: -40m + -12m + 35m2 + -6m2 = 0 Combine like terms: -40m + -12m = -52m -52m + 35m2 + -6m2 = 0 Combine like terms: 35m2 + -6m2 = 29m2 -52m + 29m2 = 0 Solving -52m + 29m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-52 + 29m) = 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 '(-52 + 29m)' equal to zero and attempt to solve: Simplifying -52 + 29m = 0 Solving -52 + 29m = 0 Move all terms containing m to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 29m = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 29m = 0 + 52 29m = 0 + 52 Combine like terms: 0 + 52 = 52 29m = 52 Divide each side by '29'. m = 1.793103448 Simplifying m = 1.793103448Solution
m = {0, 1.793103448}
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