(7m-9)(5m+6)=

Solution for (7m-9)(5m+6)= equation:

Simplifying
(7m + -9)(5m + 6) = 0

Reorder the terms:
(-9 + 7m)(5m + 6) = 0

Reorder the terms:
(-9 + 7m)(6 + 5m) = 0

Multiply (-9 + 7m) * (6 + 5m)
(-9(6 + 5m) + 7m * (6 + 5m)) = 0
((6 * -9 + 5m * -9) + 7m * (6 + 5m)) = 0
((-54 + -45m) + 7m * (6 + 5m)) = 0
(-54 + -45m + (6 * 7m + 5m * 7m)) = 0
(-54 + -45m + (42m + 35m2)) = 0

Combine like terms: -45m + 42m = -3m
(-54 + -3m + 35m2) = 0

Solving
-54 + -3m + 35m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-6 + -5m)(9 + -7m) = 0

Subproblem 1
Set the factor '(-6 + -5m)' equal to zero and attempt to solve:

Simplifying
-6 + -5m = 0

Solving
-6 + -5m = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5m = 0 + 6
-5m = 0 + 6

Combine like terms: 0 + 6 = 6
-5m = 6

Divide each side by '-5'.
m = -1.2

Simplifying
m = -1.2
Subproblem 2
Set the factor '(9 + -7m)' equal to zero and attempt to solve:

Simplifying
9 + -7m = 0

Solving
9 + -7m = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7m = 0 + -9
-7m = 0 + -9

Combine like terms: 0 + -9 = -9
-7m = -9

Divide each side by '-7'.
m = 1.285714286

Simplifying
m = 1.285714286
Solution
m = {-1.2, 1.285714286}