3m^3-15m^2+75m=

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Solution for 3m^3-15m^2+75m= equation:


Simplifying
3m3 + -15m2 + 75m = 0

Reorder the terms:
75m + -15m2 + 3m3 = 0

Solving
75m + -15m2 + 3m3 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3m'.
3m(25 + -5m + m2) = 0

Ignore the factor 3.

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 + -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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