3m(8-2m)+5(m-7)=

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Solution for 3m(8-2m)+5(m-7)= equation: 


Simplifying
3m(8 + -2m) + 5(m + -7) = 0
(8 * 3m + -2m * 3m) + 5(m + -7) = 0
(24m + -6m2) + 5(m + -7) = 0

Reorder the terms:
24m + -6m2 + 5(-7 + m) = 0
24m + -6m2 + (-7 * 5 + m * 5) = 0
24m + -6m2 + (-35 + 5m) = 0

Reorder the terms:
-35 + 24m + 5m + -6m2 = 0

Combine like terms: 24m + 5m = 29m
-35 + 29m + -6m2 = 0

Solving
-35 + 29m + -6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + 2m)(7 + -3m) = 0


Subproblem 1
Set the factor '(-5 + 2m)' equal to zero and attempt to solve:

Simplifying
-5 + 2m = 0

Solving
-5 + 2m = 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 + 2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2m = 0 + 5
2m = 0 + 5

Combine like terms: 0 + 5 = 5
2m = 5

Divide each side by '2'.
m = 2.5

Simplifying
m = 2.5

Subproblem 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 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 + -3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = 0 + -7
-3m = 0 + -7

Combine like terms: 0 + -7 = -7
-3m = -7

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333
Solution
m = {2.5, 2.333333333}

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