(-5m+3)(7m-6)=

Solution for (-5m+3)(7m-6)= equation:

Simplifying
(-5m + 3)(7m + -6) = 0

Reorder the terms:
(3 + -5m)(7m + -6) = 0

Reorder the terms:
(3 + -5m)(-6 + 7m) = 0

Multiply (3 + -5m) * (-6 + 7m)
(3(-6 + 7m) + -5m * (-6 + 7m)) = 0
((-6 * 3 + 7m * 3) + -5m * (-6 + 7m)) = 0
((-18 + 21m) + -5m * (-6 + 7m)) = 0
(-18 + 21m + (-6 * -5m + 7m * -5m)) = 0
(-18 + 21m + (30m + -35m2)) = 0

Combine like terms: 21m + 30m = 51m
(-18 + 51m + -35m2) = 0

Solving
-18 + 51m + -35m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-6 + 7m)(3 + -5m) = 0

Subproblem 1
Set the factor '(-6 + 7m)' equal to zero and attempt to solve:

Simplifying
-6 + 7m = 0

Solving
-6 + 7m = 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 + 7m = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 7m = 0 + 6
7m = 0 + 6

Combine like terms: 0 + 6 = 6
7m = 6

Divide each side by '7'.
m = 0.8571428571

Simplifying
m = 0.8571428571
Subproblem 2
Set the factor '(3 + -5m)' equal to zero and attempt to solve:

Simplifying
3 + -5m = 0

Solving
3 + -5m = 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 + -5m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5m = 0 + -3
-5m = 0 + -3

Combine like terms: 0 + -3 = -3
-5m = -3

Divide each side by '-5'.
m = 0.6

Simplifying
m = 0.6
Solution
m = {0.8571428571, 0.6}