(7m^2-5m)-(-2m^2+4m)=0

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Solution for (7m^2-5m)-(-2m^2+4m)=0 equation:


Simplifying
(7m2 + -5m) + -1(-2m2 + 4m) = 0

Reorder the terms:
(-5m + 7m2) + -1(-2m2 + 4m) = 0

Remove parenthesis around (-5m + 7m2)
-5m + 7m2 + -1(-2m2 + 4m) = 0

Reorder the terms:
-5m + 7m2 + -1(4m + -2m2) = 0
-5m + 7m2 + (4m * -1 + -2m2 * -1) = 0
-5m + 7m2 + (-4m + 2m2) = 0

Reorder the terms:
-5m + -4m + 7m2 + 2m2 = 0

Combine like terms: -5m + -4m = -9m
-9m + 7m2 + 2m2 = 0

Combine like terms: 7m2 + 2m2 = 9m2
-9m + 9m2 = 0

Solving
-9m + 9m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '9m'.
9m(-1 + m) = 0

Ignore the factor 9.

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 '(-1 + m)' equal to zero and attempt to solve: Simplifying -1 + m = 0 Solving -1 + m = 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 + m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + m = 0 + 1 m = 0 + 1 Combine like terms: 0 + 1 = 1 m = 1 Simplifying m = 1

Solution

m = {0, 1}

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