(3m+5)(8m-7)=

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Solution for (3m+5)(8m-7)= equation: 


Simplifying
(3m + 5)(8m + -7) = 0

Reorder the terms:
(5 + 3m)(8m + -7) = 0

Reorder the terms:
(5 + 3m)(-7 + 8m) = 0

Multiply (5 + 3m) * (-7 + 8m)
(5(-7 + 8m) + 3m * (-7 + 8m)) = 0
((-7 * 5 + 8m * 5) + 3m * (-7 + 8m)) = 0
((-35 + 40m) + 3m * (-7 + 8m)) = 0
(-35 + 40m + (-7 * 3m + 8m * 3m)) = 0
(-35 + 40m + (-21m + 24m2)) = 0

Combine like terms: 40m + -21m = 19m
(-35 + 19m + 24m2) = 0

Solving
-35 + 19m + 24m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -3m)(7 + -8m) = 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 '(7 + -8m)' equal to zero and attempt to solve:

Simplifying
7 + -8m = 0

Solving
7 + -8m = 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 + -8m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8m = 0 + -7
-8m = 0 + -7

Combine like terms: 0 + -7 = -7
-8m = -7

Divide each side by '-8'.
m = 0.875

Simplifying
m = 0.875
Solution
m = {-1.666666667, 0.875}

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