(3m-4)(8m-5)=0

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Solution for (3m-4)(8m-5)=0 equation: 


Simplifying
(3m + -4)(8m + -5) = 0

Reorder the terms:
(-4 + 3m)(8m + -5) = 0

Reorder the terms:
(-4 + 3m)(-5 + 8m) = 0

Multiply (-4 + 3m) * (-5 + 8m)
(-4(-5 + 8m) + 3m * (-5 + 8m)) = 0
((-5 * -4 + 8m * -4) + 3m * (-5 + 8m)) = 0
((20 + -32m) + 3m * (-5 + 8m)) = 0
(20 + -32m + (-5 * 3m + 8m * 3m)) = 0
(20 + -32m + (-15m + 24m2)) = 0

Combine like terms: -32m + -15m = -47m
(20 + -47m + 24m2) = 0

Solving
20 + -47m + 24m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -8m)(4 + -3m) = 0


Subproblem 1
Set the factor '(5 + -8m)' equal to zero and attempt to solve:

Simplifying
5 + -8m = 0

Solving
5 + -8m = 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 + -8m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8m = 0 + -5
-8m = 0 + -5

Combine like terms: 0 + -5 = -5
-8m = -5

Divide each side by '-8'.
m = 0.625

Simplifying
m = 0.625

Subproblem 2
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
Solution
m = {0.625, 1.333333333}

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