(M^2)(m+3)=(m+2)(m-2)

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Solution for (M^2)(m+3)=(m+2)(m-2) equation: 


Simplifying
(M2)(m + 3) = (m + 2)(m + -2)

Reorder the terms:
M2(3 + m) = (m + 2)(m + -2)
(3 * M2 + m * M2) = (m + 2)(m + -2)
(3M2 + mM2) = (m + 2)(m + -2)

Reorder the terms:
3M2 + mM2 = (2 + m)(m + -2)

Reorder the terms:
3M2 + mM2 = (2 + m)(-2 + m)

Multiply (2 + m) * (-2 + m)
3M2 + mM2 = (2(-2 + m) + m(-2 + m))
3M2 + mM2 = ((-2 * 2 + m * 2) + m(-2 + m))
3M2 + mM2 = ((-4 + 2m) + m(-2 + m))
3M2 + mM2 = (-4 + 2m + (-2 * m + m * m))
3M2 + mM2 = (-4 + 2m + (-2m + m2))

Combine like terms: 2m + -2m = 0
3M2 + mM2 = (-4 + 0 + m2)
3M2 + mM2 = (-4 + m2)

Solving
3M2 + mM2 = -4 + m2

Solving for variable 'M'.

Move all terms containing M to the left, all other terms to the right.

Reorder the terms:
4 + 3M2 + mM2 + -1m2 = -4 + m2 + 4 + -1m2

Reorder the terms:
4 + 3M2 + mM2 + -1m2 = -4 + 4 + m2 + -1m2

Combine like terms: -4 + 4 = 0
4 + 3M2 + mM2 + -1m2 = 0 + m2 + -1m2
4 + 3M2 + mM2 + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
4 + 3M2 + mM2 + -1m2 = 0

The solution to this equation could not be determined.

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