3m(m+5)=4(m+5)

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


Simplifying
3m(m + 5) = 4(m + 5)

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

Reorder the terms:
15m + 3m2 = 4(5 + m)
15m + 3m2 = (5 * 4 + m * 4)
15m + 3m2 = (20 + 4m)

Solving
15m + 3m2 = 20 + 4m

Solving for variable 'm'.

Reorder the terms:
-20 + 15m + -4m + 3m2 = 20 + 4m + -20 + -4m

Combine like terms: 15m + -4m = 11m
-20 + 11m + 3m2 = 20 + 4m + -20 + -4m

Reorder the terms:
-20 + 11m + 3m2 = 20 + -20 + 4m + -4m

Combine like terms: 20 + -20 = 0
-20 + 11m + 3m2 = 0 + 4m + -4m
-20 + 11m + 3m2 = 4m + -4m

Combine like terms: 4m + -4m = 0
-20 + 11m + 3m2 = 0

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


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

Simplifying
-5 + -1m = 0

Solving
-5 + -1m = 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 + -1m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 0 + 5
-1m = 0 + 5

Combine like terms: 0 + 5 = 5
-1m = 5

Divide each side by '-1'.
m = -5

Simplifying
m = -5

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 = {-5, 1.333333333}

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