(3m-1)(8m+7)=0

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Solution for (3m-1)(8m+7)=0 equation: 


Simplifying
(3m + -1)(8m + 7) = 0

Reorder the terms:
(-1 + 3m)(8m + 7) = 0

Reorder the terms:
(-1 + 3m)(7 + 8m) = 0

Multiply (-1 + 3m) * (7 + 8m)
(-1(7 + 8m) + 3m * (7 + 8m)) = 0
((7 * -1 + 8m * -1) + 3m * (7 + 8m)) = 0
((-7 + -8m) + 3m * (7 + 8m)) = 0
(-7 + -8m + (7 * 3m + 8m * 3m)) = 0
(-7 + -8m + (21m + 24m2)) = 0

Combine like terms: -8m + 21m = 13m
(-7 + 13m + 24m2) = 0

Solving
-7 + 13m + 24m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -8m)(1 + -3m) = 0


Subproblem 1
Set the factor '(-7 + -8m)' equal to zero and attempt to solve:

Simplifying
-7 + -8m = 0

Solving
-7 + -8m = 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 + -8m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8m = 0 + 7
-8m = 0 + 7

Combine like terms: 0 + 7 = 7
-8m = 7

Divide each side by '-8'.
m = -0.875

Simplifying
m = -0.875

Subproblem 2
Set the factor '(1 + -3m)' equal to zero and attempt to solve:

Simplifying
1 + -3m = 0

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

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

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

Divide each side by '-3'.
m = 0.3333333333

Simplifying
m = 0.3333333333
Solution
m = {-0.875, 0.3333333333}

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