(-2m+6)(mx-2m+6)=50

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Solution for (-2m+6)(mx-2m+6)=50 equation:


Simplifying
(-2m + 6)(mx + -2m + 6) = 50

Reorder the terms:
(6 + -2m)(mx + -2m + 6) = 50

Reorder the terms:
(6 + -2m)(6 + -2m + mx) = 50

Multiply (6 + -2m) * (6 + -2m + mx)
(6(6 + -2m + mx) + -2m * (6 + -2m + mx)) = 50
((6 * 6 + -2m * 6 + mx * 6) + -2m * (6 + -2m + mx)) = 50
((36 + -12m + 6mx) + -2m * (6 + -2m + mx)) = 50
(36 + -12m + 6mx + (6 * -2m + -2m * -2m + mx * -2m)) = 50
(36 + -12m + 6mx + (-12m + 4m2 + -2m2x)) = 50

Reorder the terms:
(36 + -12m + -12m + 6mx + 4m2 + -2m2x) = 50

Combine like terms: -12m + -12m = -24m
(36 + -24m + 6mx + 4m2 + -2m2x) = 50

Solving
36 + -24m + 6mx + 4m2 + -2m2x = 50

Solving for variable 'm'.

Reorder the terms:
36 + -50 + -24m + 6mx + 4m2 + -2m2x = 50 + -50

Combine like terms: 36 + -50 = -14
-14 + -24m + 6mx + 4m2 + -2m2x = 50 + -50

Combine like terms: 50 + -50 = 0
-14 + -24m + 6mx + 4m2 + -2m2x = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + -12m + 3mx + 2m2 + -1m2x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + -12m + 3mx + 2m2 + -1m2x)' equal to zero and attempt to solve: Simplifying -7 + -12m + 3mx + 2m2 + -1m2x = 0 Solving -7 + -12m + 3mx + 2m2 + -1m2x = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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