4m^3-8m^2+100m=0

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Solution for 4m^3-8m^2+100m=0 equation:


Simplifying
4m3 + -8m2 + 100m = 0

Reorder the terms:
100m + -8m2 + 4m3 = 0

Solving
100m + -8m2 + 4m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4m'.
4m(25 + -2m + 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 = 0

Subproblem 2

Set the factor '(25 + -2m + m2)' equal to zero and attempt to solve: Simplifying 25 + -2m + m2 = 0 Solving 25 + -2m + m2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -2m + -25 + m2 = 0 + -25 Reorder the terms: 25 + -25 + -2m + m2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -2m + m2 = 0 + -25 -2m + m2 = 0 + -25 Combine like terms: 0 + -25 = -25 -2m + m2 = -25 The m term is -2m. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2m + 1 + m2 = -25 + 1 Reorder the terms: 1 + -2m + m2 = -25 + 1 Combine like terms: -25 + 1 = -24 1 + -2m + m2 = -24 Factor a perfect square on the left side: (m + -1)(m + -1) = -24 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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