M^2-24m-120=-2m^2

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Solution for M^2-24m-120=-2m^2 equation:


Simplifying
M2 + -24m + -120 = -2m2

Reorder the terms:
-120 + M2 + -24m = -2m2

Solving
-120 + M2 + -24m = -2m2

Solving for variable 'M'.

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

Add '120' to each side of the equation.
-120 + M2 + 120 + -24m = 120 + -2m2

Reorder the terms:
-120 + 120 + M2 + -24m = 120 + -2m2

Combine like terms: -120 + 120 = 0
0 + M2 + -24m = 120 + -2m2
M2 + -24m = 120 + -2m2

Add '24m' to each side of the equation.
M2 + -24m + 24m = 120 + 24m + -2m2

Combine like terms: -24m + 24m = 0
M2 + 0 = 120 + 24m + -2m2
M2 = 120 + 24m + -2m2

Simplifying
M2 = 120 + 24m + -2m2

Reorder the terms:
-120 + M2 + -24m + 2m2 = 120 + 24m + -2m2 + -120 + -24m + 2m2

Reorder the terms:
-120 + M2 + -24m + 2m2 = 120 + -120 + 24m + -24m + -2m2 + 2m2

Combine like terms: 120 + -120 = 0
-120 + M2 + -24m + 2m2 = 0 + 24m + -24m + -2m2 + 2m2
-120 + M2 + -24m + 2m2 = 24m + -24m + -2m2 + 2m2

Combine like terms: 24m + -24m = 0
-120 + M2 + -24m + 2m2 = 0 + -2m2 + 2m2
-120 + M2 + -24m + 2m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
-120 + M2 + -24m + 2m2 = 0

The solution to this equation could not be determined.

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