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Simplifying 4m3 + -20m2 + 100m = 0 Reorder the terms: 100m + -20m2 + 4m3 = 0 Solving 100m + -20m2 + 4m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '4m'. 4m(25 + -5m + 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 '(25 + -5m + m2)' equal to zero and attempt to solve: Simplifying 25 + -5m + m2 = 0 Solving 25 + -5m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -5m + -25 + m2 = 0 + -25 Reorder the terms: 25 + -25 + -5m + m2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -5m + m2 = 0 + -25 -5m + m2 = 0 + -25 Combine like terms: 0 + -25 = -25 -5m + m2 = -25 The m term is -5m. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5m + 6.25 + m2 = -25 + 6.25 Reorder the terms: 6.25 + -5m + m2 = -25 + 6.25 Combine like terms: -25 + 6.25 = -18.75 6.25 + -5m + m2 = -18.75 Factor a perfect square on the left side: (m + -2.5)(m + -2.5) = -18.75 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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