m^4-16m^2=0

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Solution for m^4-16m^2=0 equation:


Simplifying
m4 + -16m2 = 0

Reorder the terms:
-16m2 + m4 = 0

Solving
-16m2 + m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-16 + m2) = 0

Factor a difference between two squares.
m2((4 + m)(-4 + m)) = 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 '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4

Subproblem 3

Set the factor '(-4 + m)' equal to zero and attempt to solve: Simplifying -4 + m = 0 Solving -4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + m = 0 + 4 m = 0 + 4 Combine like terms: 0 + 4 = 4 m = 4 Simplifying m = 4

Solution

m = {0, -4, 4}

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