(12m-10)(10m+10)=

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Solution for (12m-10)(10m+10)= equation: 


Simplifying
(12m + -10)(10m + 10) = 0

Reorder the terms:
(-10 + 12m)(10m + 10) = 0

Reorder the terms:
(-10 + 12m)(10 + 10m) = 0

Multiply (-10 + 12m) * (10 + 10m)
(-10(10 + 10m) + 12m * (10 + 10m)) = 0
((10 * -10 + 10m * -10) + 12m * (10 + 10m)) = 0
((-100 + -100m) + 12m * (10 + 10m)) = 0
(-100 + -100m + (10 * 12m + 10m * 12m)) = 0
(-100 + -100m + (120m + 120m2)) = 0

Combine like terms: -100m + 120m = 20m
(-100 + 20m + 120m2) = 0

Solving
-100 + 20m + 120m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '20'.
20(-5 + m + 6m2) = 0

Factor a trinomial.
20((-1 + -1m)(5 + -6m)) = 0

Ignore the factor 20.

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 '(5 + -6m)' equal to zero and attempt to solve:

Simplifying
5 + -6m = 0

Solving
5 + -6m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6m = 0 + -5
-6m = 0 + -5

Combine like terms: 0 + -5 = -5
-6m = -5

Divide each side by '-6'.
m = 0.8333333333

Simplifying
m = 0.8333333333
Solution
m = {-1, 0.8333333333}

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