(3m+5)(4m-9)=0

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Solution for (3m+5)(4m-9)=0 equation: 


Simplifying
(3m + 5)(4m + -9) = 0

Reorder the terms:
(5 + 3m)(4m + -9) = 0

Reorder the terms:
(5 + 3m)(-9 + 4m) = 0

Multiply (5 + 3m) * (-9 + 4m)
(5(-9 + 4m) + 3m * (-9 + 4m)) = 0
((-9 * 5 + 4m * 5) + 3m * (-9 + 4m)) = 0
((-45 + 20m) + 3m * (-9 + 4m)) = 0
(-45 + 20m + (-9 * 3m + 4m * 3m)) = 0
(-45 + 20m + (-27m + 12m2)) = 0

Combine like terms: 20m + -27m = -7m
(-45 + -7m + 12m2) = 0

Solving
-45 + -7m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -3m)(9 + -4m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -4m)' equal to zero and attempt to solve:

Simplifying
9 + -4m = 0

Solving
9 + -4m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -4m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4m = 0 + -9
-4m = 0 + -9

Combine like terms: 0 + -9 = -9
-4m = -9

Divide each side by '-4'.
m = 2.25

Simplifying
m = 2.25
Solution
m = {-1.666666667, 2.25}

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