m^2(m^2-7)=2m^2

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Solution for m^2(m^2-7)=2m^2 equation: 


Simplifying
m2(m2 + -7) = 2m2

Reorder the terms:
m2(-7 + m2) = 2m2
(-7 * m2 + m2 * m2) = 2m2
(-7m2 + m4) = 2m2

Solving
-7m2 + m4 = 2m2

Solving for variable 'm'.

Reorder the terms:
-7m2 + -2m2 + m4 = 2m2 + -2m2

Combine like terms: -7m2 + -2m2 = -9m2
-9m2 + m4 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 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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