2m^2-10m=-4m^2+4m-8

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Solution for 2m^2-10m=-4m^2+4m-8 equation:


Simplifying
2m2 + -10m = -4m2 + 4m + -8

Reorder the terms:
-10m + 2m2 = -4m2 + 4m + -8

Reorder the terms:
-10m + 2m2 = -8 + 4m + -4m2

Solving
-10m + 2m2 = -8 + 4m + -4m2

Solving for variable 'm'.

Reorder the terms:
8 + -10m + -4m + 2m2 + 4m2 = -8 + 4m + -4m2 + 8 + -4m + 4m2

Combine like terms: -10m + -4m = -14m
8 + -14m + 2m2 + 4m2 = -8 + 4m + -4m2 + 8 + -4m + 4m2

Combine like terms: 2m2 + 4m2 = 6m2
8 + -14m + 6m2 = -8 + 4m + -4m2 + 8 + -4m + 4m2

Reorder the terms:
8 + -14m + 6m2 = -8 + 8 + 4m + -4m + -4m2 + 4m2

Combine like terms: -8 + 8 = 0
8 + -14m + 6m2 = 0 + 4m + -4m + -4m2 + 4m2
8 + -14m + 6m2 = 4m + -4m + -4m2 + 4m2

Combine like terms: 4m + -4m = 0
8 + -14m + 6m2 = 0 + -4m2 + 4m2
8 + -14m + 6m2 = -4m2 + 4m2

Combine like terms: -4m2 + 4m2 = 0
8 + -14m + 6m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -7m + 3m2) = 0

Factor a trinomial.
2((1 + -1m)(4 + -3m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1

Subproblem 2

Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333

Solution

m = {1, 1.333333333}

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