(9m-7)(4m+2)=

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Solution for (9m-7)(4m+2)= equation: 


Simplifying
(9m + -7)(4m + 2) = 0

Reorder the terms:
(-7 + 9m)(4m + 2) = 0

Reorder the terms:
(-7 + 9m)(2 + 4m) = 0

Multiply (-7 + 9m) * (2 + 4m)
(-7(2 + 4m) + 9m * (2 + 4m)) = 0
((2 * -7 + 4m * -7) + 9m * (2 + 4m)) = 0
((-14 + -28m) + 9m * (2 + 4m)) = 0
(-14 + -28m + (2 * 9m + 4m * 9m)) = 0
(-14 + -28m + (18m + 36m2)) = 0

Combine like terms: -28m + 18m = -10m
(-14 + -10m + 36m2) = 0

Solving
-14 + -10m + 36m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + -5m + 18m2) = 0

Factor a trinomial.
2((-1 + -2m)(7 + -9m)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -2m = 0

Solving
-1 + -2m = 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 + -2m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2m = 0 + 1
-2m = 0 + 1

Combine like terms: 0 + 1 = 1
-2m = 1

Divide each side by '-2'.
m = -0.5

Simplifying
m = -0.5

Subproblem 2
Set the factor '(7 + -9m)' equal to zero and attempt to solve:

Simplifying
7 + -9m = 0

Solving
7 + -9m = 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 + -9m = 0 + -7

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

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

Divide each side by '-9'.
m = 0.7777777778

Simplifying
m = 0.7777777778
Solution
m = {-0.5, 0.7777777778}

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