(5m-10)(m+4)=0

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Solution for (5m-10)(m+4)=0 equation: 


Simplifying
(5m + -10)(m + 4) = 0

Reorder the terms:
(-10 + 5m)(m + 4) = 0

Reorder the terms:
(-10 + 5m)(4 + m) = 0

Multiply (-10 + 5m) * (4 + m)
(-10(4 + m) + 5m * (4 + m)) = 0
((4 * -10 + m * -10) + 5m * (4 + m)) = 0
((-40 + -10m) + 5m * (4 + m)) = 0
(-40 + -10m + (4 * 5m + m * 5m)) = 0
(-40 + -10m + (20m + 5m2)) = 0

Combine like terms: -10m + 20m = 10m
(-40 + 10m + 5m2) = 0

Solving
-40 + 10m + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-8 + 2m + m2) = 0

Factor a trinomial.
5((-4 + -1m)(2 + -1m)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4

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

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-4, 2}

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