(7m+8)(5m-1)=0

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Solution for (7m+8)(5m-1)=0 equation: 


Simplifying
(7m + 8)(5m + -1) = 0

Reorder the terms:
(8 + 7m)(5m + -1) = 0

Reorder the terms:
(8 + 7m)(-1 + 5m) = 0

Multiply (8 + 7m) * (-1 + 5m)
(8(-1 + 5m) + 7m * (-1 + 5m)) = 0
((-1 * 8 + 5m * 8) + 7m * (-1 + 5m)) = 0
((-8 + 40m) + 7m * (-1 + 5m)) = 0
(-8 + 40m + (-1 * 7m + 5m * 7m)) = 0
(-8 + 40m + (-7m + 35m2)) = 0

Combine like terms: 40m + -7m = 33m
(-8 + 33m + 35m2) = 0

Solving
-8 + 33m + 35m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-8 + -7m)(1 + -5m) = 0


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

Simplifying
-8 + -7m = 0

Solving
-8 + -7m = 0

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

Add '8' to each side of the equation.
-8 + 8 + -7m = 0 + 8

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

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

Divide each side by '-7'.
m = -1.142857143

Simplifying
m = -1.142857143

Subproblem 2
Set the factor '(1 + -5m)' equal to zero and attempt to solve:

Simplifying
1 + -5m = 0

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

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

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

Divide each side by '-5'.
m = 0.2

Simplifying
m = 0.2
Solution
m = {-1.142857143, 0.2}

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