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

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Solution for (m-5)(5m+2)=0 equation: 


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

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

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

Multiply (-5 + m) * (2 + 5m)
(-5(2 + 5m) + m(2 + 5m)) = 0
((2 * -5 + 5m * -5) + m(2 + 5m)) = 0
((-10 + -25m) + m(2 + 5m)) = 0
(-10 + -25m + (2 * m + 5m * m)) = 0
(-10 + -25m + (2m + 5m2)) = 0

Combine like terms: -25m + 2m = -23m
(-10 + -23m + 5m2) = 0

Solving
-10 + -23m + 5m2 = 0

Solving for variable 'm'.

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


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

Simplifying
-2 + -5m = 0

Solving
-2 + -5m = 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 + -5m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5m = 0 + 2
-5m = 0 + 2

Combine like terms: 0 + 2 = 2
-5m = 2

Divide each side by '-5'.
m = -0.4

Simplifying
m = -0.4

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 = {-0.4, 5}

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