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

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

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

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

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

Multiply (-5 + m) * (3 + 5m)
(-5(3 + 5m) + m(3 + 5m)) = 0
((3 * -5 + 5m * -5) + m(3 + 5m)) = 0
((-15 + -25m) + m(3 + 5m)) = 0
(-15 + -25m + (3 * m + 5m * m)) = 0
(-15 + -25m + (3m + 5m2)) = 0

Combine like terms: -25m + 3m = -22m
(-15 + -22m + 5m2) = 0

Solving
-15 + -22m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -5m)(5 + -1m) = 0

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

Simplifying
5 + -1m = 0

Solving
5 + -1m = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m = 0 + -5

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

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

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-0.6, 5}