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Simplifying 4m3 + m + -2(m3 + 7m) = 0 Reorder the terms: 4m3 + m + -2(7m + m3) = 0 4m3 + m + (7m * -2 + m3 * -2) = 0 4m3 + m + (-14m + -2m3) = 0 Reorder the terms: m + -14m + 4m3 + -2m3 = 0 Combine like terms: m + -14m = -13m -13m + 4m3 + -2m3 = 0 Combine like terms: 4m3 + -2m3 = 2m3 -13m + 2m3 = 0 Solving -13m + 2m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(-13 + 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 '(-13 + 2m2)' equal to zero and attempt to solve: Simplifying -13 + 2m2 = 0 Solving -13 + 2m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 2m2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 2m2 = 0 + 13 2m2 = 0 + 13 Combine like terms: 0 + 13 = 13 2m2 = 13 Divide each side by '2'. m2 = 6.5 Simplifying m2 = 6.5 Take the square root of each side: m = {-2.549509757, 2.549509757}Solution
m = {0, -2.549509757, 2.549509757}
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