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Simplifying (-2m3 + 13m + 4m2) + (12m3 + -6m2 + -10m) = 0 Reorder the terms: (13m + 4m2 + -2m3) + (12m3 + -6m2 + -10m) = 0 Remove parenthesis around (13m + 4m2 + -2m3) 13m + 4m2 + -2m3 + (12m3 + -6m2 + -10m) = 0 Reorder the terms: 13m + 4m2 + -2m3 + (-10m + -6m2 + 12m3) = 0 Remove parenthesis around (-10m + -6m2 + 12m3) 13m + 4m2 + -2m3 + -10m + -6m2 + 12m3 = 0 Reorder the terms: 13m + -10m + 4m2 + -6m2 + -2m3 + 12m3 = 0 Combine like terms: 13m + -10m = 3m 3m + 4m2 + -6m2 + -2m3 + 12m3 = 0 Combine like terms: 4m2 + -6m2 = -2m2 3m + -2m2 + -2m3 + 12m3 = 0 Combine like terms: -2m3 + 12m3 = 10m3 3m + -2m2 + 10m3 = 0 Solving 3m + -2m2 + 10m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm'. m(3 + -2m + 10m2) = 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 '(3 + -2m + 10m2)' equal to zero and attempt to solve: Simplifying 3 + -2m + 10m2 = 0 Solving 3 + -2m + 10m2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.3 + -0.2m + m2 = 0.0 Move the constant term to the right: Add '-0.3' to each side of the equation. 0.3 + -0.2m + -0.3 + m2 = 0.0 + -0.3 Reorder the terms: 0.3 + -0.3 + -0.2m + m2 = 0.0 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + -0.2m + m2 = 0.0 + -0.3 -0.2m + m2 = 0.0 + -0.3 Combine like terms: 0.0 + -0.3 = -0.3 -0.2m + m2 = -0.3 The m term is -0.2m. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2m + 0.01 + m2 = -0.3 + 0.01 Reorder the terms: 0.01 + -0.2m + m2 = -0.3 + 0.01 Combine like terms: -0.3 + 0.01 = -0.29 0.01 + -0.2m + m2 = -0.29 Factor a perfect square on the left side: (m + -0.1)(m + -0.1) = -0.29 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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