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Simplifying 4m3 + -16m2 + 36m = 0 Reorder the terms: 36m + -16m2 + 4m3 = 0 Solving 36m + -16m2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(9 + -4m + m2) = 0 Ignore the factor 4.Subproblem 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 + -4m + m2)' equal to zero and attempt to solve: Simplifying 9 + -4m + m2 = 0 Solving 9 + -4m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4m + -9 + m2 = 0 + -9 Reorder the terms: 9 + -9 + -4m + m2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4m + m2 = 0 + -9 -4m + m2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4m + m2 = -9 The m term is -4m. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4m + 4 + m2 = -9 + 4 Reorder the terms: 4 + -4m + m2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4m + m2 = -5 Factor a perfect square on the left side: (m + -2)(m + -2) = -5 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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