(4m-2)(m+5)=

Solution for (4m-2)(m+5)= equation:

Simplifying
(4m + -2)(m + 5) = 0

Reorder the terms:
(-2 + 4m)(m + 5) = 0

Reorder the terms:
(-2 + 4m)(5 + m) = 0

Multiply (-2 + 4m) * (5 + m)
(-2(5 + m) + 4m * (5 + m)) = 0
((5 * -2 + m * -2) + 4m * (5 + m)) = 0
((-10 + -2m) + 4m * (5 + m)) = 0
(-10 + -2m + (5 * 4m + m * 4m)) = 0
(-10 + -2m + (20m + 4m2)) = 0

Combine like terms: -2m + 20m = 18m
(-10 + 18m + 4m2) = 0

Solving
-10 + 18m + 4m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 9m + 2m2) = 0

Factor a trinomial.
2((-5 + -1m)(1 + -2m)) = 0

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

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Solution
m = {-5, 0.5}