(3m+5)(2m-8)=0

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Solution for (3m+5)(2m-8)=0 equation: 


Simplifying
(3m + 5)(2m + -8) = 0

Reorder the terms:
(5 + 3m)(2m + -8) = 0

Reorder the terms:
(5 + 3m)(-8 + 2m) = 0

Multiply (5 + 3m) * (-8 + 2m)
(5(-8 + 2m) + 3m * (-8 + 2m)) = 0
((-8 * 5 + 2m * 5) + 3m * (-8 + 2m)) = 0
((-40 + 10m) + 3m * (-8 + 2m)) = 0
(-40 + 10m + (-8 * 3m + 2m * 3m)) = 0
(-40 + 10m + (-24m + 6m2)) = 0

Combine like terms: 10m + -24m = -14m
(-40 + -14m + 6m2) = 0

Solving
-40 + -14m + 6m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -7m + 3m2) = 0

Factor a trinomial.
2((-5 + -3m)(4 + -1m)) = 0

Ignore the factor 2.

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 '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 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 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-1.666666667, 4}

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