m^4+3m^3-40m^2=0

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Solution for m^4+3m^3-40m^2=0 equation:


Simplifying
m4 + 3m3 + -40m2 = 0

Reorder the terms:
-40m2 + 3m3 + m4 = 0

Solving
-40m2 + 3m3 + m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-40 + 3m + m2) = 0

Factor a trinomial.
m2((-8 + -1m)(5 + -1m)) = 0

Subproblem 1

Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}

Subproblem 2

Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8

Subproblem 3

Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5

Solution

m = {0, -8, 5}

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