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

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


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

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

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

Multiply (-7 + 4m) * (3 + 3m)
(-7(3 + 3m) + 4m * (3 + 3m)) = 0
((3 * -7 + 3m * -7) + 4m * (3 + 3m)) = 0
((-21 + -21m) + 4m * (3 + 3m)) = 0
(-21 + -21m + (3 * 4m + 3m * 4m)) = 0
(-21 + -21m + (12m + 12m2)) = 0

Combine like terms: -21m + 12m = -9m
(-21 + -9m + 12m2) = 0

Solving
-21 + -9m + 12m2 = 0

Solving for variable 'm'.

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

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

Ignore the factor 3.

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 + -4m)' equal to zero and attempt to solve:

Simplifying
7 + -4m = 0

Solving
7 + -4m = 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 + -4m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4m = 0 + -7
-4m = 0 + -7

Combine like terms: 0 + -7 = -7
-4m = -7

Divide each side by '-4'.
m = 1.75

Simplifying
m = 1.75
Solution
m = {-1, 1.75}

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