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Simplifying 4m3 + -16m2 + 64m = 0 Reorder the terms: 64m + -16m2 + 4m3 = 0 Solving 64m + -16m2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(16 + -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 '(16 + -4m + m2)' equal to zero and attempt to solve: Simplifying 16 + -4m + m2 = 0 Solving 16 + -4m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -4m + -16 + m2 = 0 + -16 Reorder the terms: 16 + -16 + -4m + m2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4m + m2 = 0 + -16 -4m + m2 = 0 + -16 Combine like terms: 0 + -16 = -16 -4m + m2 = -16 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 = -16 + 4 Reorder the terms: 4 + -4m + m2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + -4m + m2 = -12 Factor a perfect square on the left side: (m + -2)(m + -2) = -12 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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