(3m-1)(8m+7)=4

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Solution for (3m-1)(8m+7)=4 equation: 


Simplifying
(3m + -1)(8m + 7) = 4

Reorder the terms:
(-1 + 3m)(8m + 7) = 4

Reorder the terms:
(-1 + 3m)(7 + 8m) = 4

Multiply (-1 + 3m) * (7 + 8m)
(-1(7 + 8m) + 3m * (7 + 8m)) = 4
((7 * -1 + 8m * -1) + 3m * (7 + 8m)) = 4
((-7 + -8m) + 3m * (7 + 8m)) = 4
(-7 + -8m + (7 * 3m + 8m * 3m)) = 4
(-7 + -8m + (21m + 24m2)) = 4

Combine like terms: -8m + 21m = 13m
(-7 + 13m + 24m2) = 4

Solving
-7 + 13m + 24m2 = 4

Solving for variable 'm'.

Reorder the terms:
-7 + -4 + 13m + 24m2 = 4 + -4

Combine like terms: -7 + -4 = -11
-11 + 13m + 24m2 = 4 + -4

Combine like terms: 4 + -4 = 0
-11 + 13m + 24m2 = 0

Factor a trinomial.
(-1 + -1m)(11 + -24m) = 0


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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1m = 0 + 1

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

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

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

Simplifying
m = -1

Subproblem 2
Set the factor '(11 + -24m)' equal to zero and attempt to solve:

Simplifying
11 + -24m = 0

Solving
11 + -24m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-11' to each side of the equation.
11 + -11 + -24m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -24m = 0 + -11
-24m = 0 + -11

Combine like terms: 0 + -11 = -11
-24m = -11

Divide each side by '-24'.
m = 0.4583333333

Simplifying
m = 0.4583333333
Solution
m = {-1, 0.4583333333}

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