(3m-5)(3m+4)=

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Solution for (3m-5)(3m+4)= equation: 


Simplifying
(3m + -5)(3m + 4) = 0

Reorder the terms:
(-5 + 3m)(3m + 4) = 0

Reorder the terms:
(-5 + 3m)(4 + 3m) = 0

Multiply (-5 + 3m) * (4 + 3m)
(-5(4 + 3m) + 3m * (4 + 3m)) = 0
((4 * -5 + 3m * -5) + 3m * (4 + 3m)) = 0
((-20 + -15m) + 3m * (4 + 3m)) = 0
(-20 + -15m + (4 * 3m + 3m * 3m)) = 0
(-20 + -15m + (12m + 9m2)) = 0

Combine like terms: -15m + 12m = -3m
(-20 + -3m + 9m2) = 0

Solving
-20 + -3m + 9m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -3m)(5 + -3m) = 0


Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve:

Simplifying
-4 + -3m = 0

Solving
-4 + -3m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3m = 0 + 4
-3m = 0 + 4

Combine like terms: 0 + 4 = 4
-3m = 4

Divide each side by '-3'.
m = -1.333333333

Simplifying
m = -1.333333333

Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 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 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {-1.333333333, 1.666666667}

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