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Simplifying 0 = 2m3 + -5m + -12m Reorder the terms: 0 = -5m + -12m + 2m3 Combine like terms: -5m + -12m = -17m 0 = -17m + 2m3 Solving 0 = -17m + 2m3 Solving for variable 'm'. Remove the zero: 17m + -2m3 = -17m + 2m3 + 17m + -2m3 Reorder the terms: 17m + -2m3 = -17m + 17m + 2m3 + -2m3 Combine like terms: -17m + 17m = 0 17m + -2m3 = 0 + 2m3 + -2m3 17m + -2m3 = 2m3 + -2m3 Combine like terms: 2m3 + -2m3 = 0 17m + -2m3 = 0 Factor out the Greatest Common Factor (GCF), 'm'. m(17 + -2m2) = 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 '(17 + -2m2)' equal to zero and attempt to solve: Simplifying 17 + -2m2 = 0 Solving 17 + -2m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -2m2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2m2 = 0 + -17 -2m2 = 0 + -17 Combine like terms: 0 + -17 = -17 -2m2 = -17 Divide each side by '-2'. m2 = 8.5 Simplifying m2 = 8.5 Take the square root of each side: m = {-2.915475947, 2.915475947}Solution
m = {0, -2.915475947, 2.915475947}
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