mx(m-2)=2m(3x-m-1)

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Solution for mx(m-2)=2m(3x-m-1) equation:


Simplifying
mx(m + -2) = 2m(3x + -1m + -1)

Reorder the terms:
mx(-2 + m) = 2m(3x + -1m + -1)
(-2 * mx + m * mx) = 2m(3x + -1m + -1)
(-2mx + m2x) = 2m(3x + -1m + -1)

Reorder the terms:
-2mx + m2x = 2m(-1 + -1m + 3x)
-2mx + m2x = (-1 * 2m + -1m * 2m + 3x * 2m)

Reorder the terms:
-2mx + m2x = (-2m + 6mx + -2m2)
-2mx + m2x = (-2m + 6mx + -2m2)

Solving
-2mx + m2x = -2m + 6mx + -2m2

Solving for variable 'm'.

Reorder the terms:
2m + -2mx + -6mx + 2m2 + m2x = -2m + 6mx + -2m2 + 2m + -6mx + 2m2

Combine like terms: -2mx + -6mx = -8mx
2m + -8mx + 2m2 + m2x = -2m + 6mx + -2m2 + 2m + -6mx + 2m2

Reorder the terms:
2m + -8mx + 2m2 + m2x = -2m + 2m + 6mx + -6mx + -2m2 + 2m2

Combine like terms: -2m + 2m = 0
2m + -8mx + 2m2 + m2x = 0 + 6mx + -6mx + -2m2 + 2m2
2m + -8mx + 2m2 + m2x = 6mx + -6mx + -2m2 + 2m2

Combine like terms: 6mx + -6mx = 0
2m + -8mx + 2m2 + m2x = 0 + -2m2 + 2m2
2m + -8mx + 2m2 + m2x = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
2m + -8mx + 2m2 + m2x = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(2 + -8x + 2m + mx) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(2 + -8x + 2m + mx)' equal to zero and attempt to solve: Simplifying 2 + -8x + 2m + mx = 0 Reorder the terms: 2 + 2m + mx + -8x = 0 Solving 2 + 2m + mx + -8x = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2m + mx + -2 + -8x = 0 + -2 Reorder the terms: 2 + -2 + 2m + mx + -8x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2m + mx + -8x = 0 + -2 2m + mx + -8x = 0 + -2 Combine like terms: 0 + -2 = -2 2m + mx + -8x = -2 Add '8x' to each side of the equation. 2m + mx + -8x + 8x = -2 + 8x Combine like terms: -8x + 8x = 0 2m + mx + 0 = -2 + 8x 2m + mx = -2 + 8x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

m = {0}

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