(M^2-2m)-6(m^2+2m)=16

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Solution for (M^2-2m)-6(m^2+2m)=16 equation:


Simplifying
(M2 + -2m) + -6(m2 + 2m) = 16

Remove parenthesis around (M2 + -2m)
M2 + -2m + -6(m2 + 2m) = 16

Reorder the terms:
M2 + -2m + -6(2m + m2) = 16
M2 + -2m + (2m * -6 + m2 * -6) = 16
M2 + -2m + (-12m + -6m2) = 16

Combine like terms: -2m + -12m = -14m
M2 + -14m + -6m2 = 16

Solving
M2 + -14m + -6m2 = 16

Solving for variable 'M'.

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

Add '14m' to each side of the equation.
M2 + -14m + 14m + -6m2 = 16 + 14m

Combine like terms: -14m + 14m = 0
M2 + 0 + -6m2 = 16 + 14m
M2 + -6m2 = 16 + 14m

Add '6m2' to each side of the equation.
M2 + -6m2 + 6m2 = 16 + 14m + 6m2

Combine like terms: -6m2 + 6m2 = 0
M2 + 0 = 16 + 14m + 6m2
M2 = 16 + 14m + 6m2

Simplifying
M2 = 16 + 14m + 6m2

Reorder the terms:
-16 + M2 + -14m + -6m2 = 16 + 14m + 6m2 + -16 + -14m + -6m2

Reorder the terms:
-16 + M2 + -14m + -6m2 = 16 + -16 + 14m + -14m + 6m2 + -6m2

Combine like terms: 16 + -16 = 0
-16 + M2 + -14m + -6m2 = 0 + 14m + -14m + 6m2 + -6m2
-16 + M2 + -14m + -6m2 = 14m + -14m + 6m2 + -6m2

Combine like terms: 14m + -14m = 0
-16 + M2 + -14m + -6m2 = 0 + 6m2 + -6m2
-16 + M2 + -14m + -6m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
-16 + M2 + -14m + -6m2 = 0

The solution to this equation could not be determined.

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