(4m+7)(2m-12)=0

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Solution for (4m+7)(2m-12)=0 equation: 


Simplifying
(4m + 7)(2m + -12) = 0

Reorder the terms:
(7 + 4m)(2m + -12) = 0

Reorder the terms:
(7 + 4m)(-12 + 2m) = 0

Multiply (7 + 4m) * (-12 + 2m)
(7(-12 + 2m) + 4m * (-12 + 2m)) = 0
((-12 * 7 + 2m * 7) + 4m * (-12 + 2m)) = 0
((-84 + 14m) + 4m * (-12 + 2m)) = 0
(-84 + 14m + (-12 * 4m + 2m * 4m)) = 0
(-84 + 14m + (-48m + 8m2)) = 0

Combine like terms: 14m + -48m = -34m
(-84 + -34m + 8m2) = 0

Solving
-84 + -34m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-42 + -17m + 4m2) = 0

Factor a trinomial.
2((-7 + -4m)(6 + -1m)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {-1.75, 6}

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