(3m+8)(5m-3)=

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Solution for (3m+8)(5m-3)= equation: 


Simplifying
(3m + 8)(5m + -3) = 0

Reorder the terms:
(8 + 3m)(5m + -3) = 0

Reorder the terms:
(8 + 3m)(-3 + 5m) = 0

Multiply (8 + 3m) * (-3 + 5m)
(8(-3 + 5m) + 3m * (-3 + 5m)) = 0
((-3 * 8 + 5m * 8) + 3m * (-3 + 5m)) = 0
((-24 + 40m) + 3m * (-3 + 5m)) = 0
(-24 + 40m + (-3 * 3m + 5m * 3m)) = 0
(-24 + 40m + (-9m + 15m2)) = 0

Combine like terms: 40m + -9m = 31m
(-24 + 31m + 15m2) = 0

Solving
-24 + 31m + 15m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -3m)(3 + -5m) = 0


Subproblem 1
Set the factor '(-8 + -3m)' equal to zero and attempt to solve:

Simplifying
-8 + -3m = 0

Solving
-8 + -3m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3m = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3m = 0 + 8
-3m = 0 + 8

Combine like terms: 0 + 8 = 8
-3m = 8

Divide each side by '-3'.
m = -2.666666667

Simplifying
m = -2.666666667

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

Simplifying
3 + -5m = 0

Solving
3 + -5m = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5m = 0 + -3

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

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

Divide each side by '-5'.
m = 0.6

Simplifying
m = 0.6
Solution
m = {-2.666666667, 0.6}

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