(3m-7)(4m+4)=0

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Solution for (3m-7)(4m+4)=0 equation: 


Simplifying
(3m + -7)(4m + 4) = 0

Reorder the terms:
(-7 + 3m)(4m + 4) = 0

Reorder the terms:
(-7 + 3m)(4 + 4m) = 0

Multiply (-7 + 3m) * (4 + 4m)
(-7(4 + 4m) + 3m * (4 + 4m)) = 0
((4 * -7 + 4m * -7) + 3m * (4 + 4m)) = 0
((-28 + -28m) + 3m * (4 + 4m)) = 0
(-28 + -28m + (4 * 3m + 4m * 3m)) = 0
(-28 + -28m + (12m + 12m2)) = 0

Combine like terms: -28m + 12m = -16m
(-28 + -16m + 12m2) = 0

Solving
-28 + -16m + 12m2 = 0

Solving for variable 'm'.

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

Factor a trinomial.
4((-1 + -1m)(7 + -3m)) = 0

Ignore the factor 4.

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 '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = 0 + -7
-3m = 0 + -7

Combine like terms: 0 + -7 = -7
-3m = -7

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333
Solution
m = {-1, 2.333333333}

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