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

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


Simplifying
4m(3 + -1m) = 5(m + -3)
(3 * 4m + -1m * 4m) = 5(m + -3)
(12m + -4m2) = 5(m + -3)

Reorder the terms:
12m + -4m2 = 5(-3 + m)
12m + -4m2 = (-3 * 5 + m * 5)
12m + -4m2 = (-15 + 5m)

Solving
12m + -4m2 = -15 + 5m

Solving for variable 'm'.

Reorder the terms:
15 + 12m + -5m + -4m2 = -15 + 5m + 15 + -5m

Combine like terms: 12m + -5m = 7m
15 + 7m + -4m2 = -15 + 5m + 15 + -5m

Reorder the terms:
15 + 7m + -4m2 = -15 + 15 + 5m + -5m

Combine like terms: -15 + 15 = 0
15 + 7m + -4m2 = 0 + 5m + -5m
15 + 7m + -4m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
15 + 7m + -4m2 = 0

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


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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3

Subproblem 2
Set the factor '(5 + 4m)' equal to zero and attempt to solve:

Simplifying
5 + 4m = 0

Solving
5 + 4m = 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 + 4m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4m = 0 + -5
4m = 0 + -5

Combine like terms: 0 + -5 = -5
4m = -5

Divide each side by '4'.
m = -1.25

Simplifying
m = -1.25
Solution
m = {3, -1.25}

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