-40=(3m-19)(m+1)

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Solution for -40=(3m-19)(m+1) equation: 


Simplifying
-40 = (3m + -19)(m + 1)

Reorder the terms:
-40 = (-19 + 3m)(m + 1)

Reorder the terms:
-40 = (-19 + 3m)(1 + m)

Multiply (-19 + 3m) * (1 + m)
-40 = (-19(1 + m) + 3m * (1 + m))
-40 = ((1 * -19 + m * -19) + 3m * (1 + m))
-40 = ((-19 + -19m) + 3m * (1 + m))
-40 = (-19 + -19m + (1 * 3m + m * 3m))
-40 = (-19 + -19m + (3m + 3m2))

Combine like terms: -19m + 3m = -16m
-40 = (-19 + -16m + 3m2)

Solving
-40 = -19 + -16m + 3m2

Solving for variable 'm'.

Combine like terms: -40 + 19 = -21
-21 + 16m + -3m2 = -19 + -16m + 3m2 + 19 + 16m + -3m2

Reorder the terms:
-21 + 16m + -3m2 = -19 + 19 + -16m + 16m + 3m2 + -3m2

Combine like terms: -19 + 19 = 0
-21 + 16m + -3m2 = 0 + -16m + 16m + 3m2 + -3m2
-21 + 16m + -3m2 = -16m + 16m + 3m2 + -3m2

Combine like terms: -16m + 16m = 0
-21 + 16m + -3m2 = 0 + 3m2 + -3m2
-21 + 16m + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-21 + 16m + -3m2 = 0

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


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

Simplifying
-3 + m = 0

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

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

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

Simplifying
m = 3

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 = {3, 2.333333333}

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