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Simplifying 2m * 2(-3m + 4m * 2) + -1(3m) * 3 = 0 Reorder the terms for easier multiplication: 2m * 2(-3m + 4 * 2m) + -1(3m) * 3 = 0 Multiply 4 * 2 2m * 2(-3m + 8m) + -1(3m) * 3 = 0 Combine like terms: -3m + 8m = 5m 2m * 2(5m) + -1(3m) * 3 = 0 Remove parenthesis around (5m) 2m * 2 * 5m + -1(3m) * 3 = 0 Reorder the terms for easier multiplication: 2 * 2 * 5m * m + -1(3m) * 3 = 0 Multiply 2 * 2 4 * 5m * m + -1(3m) * 3 = 0 Multiply 4 * 5 20m * m + -1(3m) * 3 = 0 Multiply m * m 20m2 + -1(3m) * 3 = 0 Remove parenthesis around (3m) 20m2 + -1 * 3m * 3 = 0 Reorder the terms for easier multiplication: 20m2 + -1 * 3 * 3m = 0 Multiply -1 * 3 20m2 + -3 * 3m = 0 Multiply -3 * 3 20m2 + -9m = 0 Reorder the terms: -9m + 20m2 = 0 Solving -9m + 20m2 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-9 + 20m) = 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 '(-9 + 20m)' equal to zero and attempt to solve: Simplifying -9 + 20m = 0 Solving -9 + 20m = 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 + 20m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 20m = 0 + 9 20m = 0 + 9 Combine like terms: 0 + 9 = 9 20m = 9 Divide each side by '20'. m = 0.45 Simplifying m = 0.45Solution
m = {0, 0.45}
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