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Simplifying 4m2 + 4m = 288 Reorder the terms: 4m + 4m2 = 288 Solving 4m + 4m2 = 288 Solving for variable 'm'. Reorder the terms: -288 + 4m + 4m2 = 288 + -288 Combine like terms: 288 + -288 = 0 -288 + 4m + 4m2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-72 + m + m2) = 0 Factor a trinomial. 4((-9 + -1m)(8 + -1m)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9Subproblem 2
Set the factor '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8Solution
m = {-9, 8}
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