m^4=9m^2

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Solution for m^4=9m^2 equation:


Simplifying
m4 = 9m2

Solving
m4 = 9m2

Solving for variable 'm'.

Reorder the terms:
-9m2 + m4 = 9m2 + -9m2

Combine like terms: 9m2 + -9m2 = 0
-9m2 + m4 = 0

Factor out the Greatest Common Factor (GCF), 'm2'.
m2(-9 + m2) = 0

Factor a difference between two squares.
m2((3 + m)(-3 + 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 '(3 + m)' equal to zero and attempt to solve: Simplifying 3 + m = 0 Solving 3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + m = 0 + -3 m = 0 + -3 Combine like terms: 0 + -3 = -3 m = -3 Simplifying m = -3

Subproblem 3

Set the factor '(-3 + m)' equal to zero and attempt to solve: Simplifying -3 + m = 0 Solving -3 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + m = 0 + 3 m = 0 + 3 Combine like terms: 0 + 3 = 3 m = 3 Simplifying m = 3

Solution

m = {0, -3, 3}

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