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Simplifying (-3m2 + m) + (4m2 + 6m) = 0 Reorder the terms: (m + -3m2) + (4m2 + 6m) = 0 Remove parenthesis around (m + -3m2) m + -3m2 + (4m2 + 6m) = 0 Reorder the terms: m + -3m2 + (6m + 4m2) = 0 Remove parenthesis around (6m + 4m2) m + -3m2 + 6m + 4m2 = 0 Reorder the terms: m + 6m + -3m2 + 4m2 = 0 Combine like terms: m + 6m = 7m 7m + -3m2 + 4m2 = 0 Combine like terms: -3m2 + 4m2 = 1m2 7m + 1m2 = 0 Solving 7m + 1m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(7 + 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 '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7Solution
m = {0, -7}
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