(5m-2)(m-8)=0

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Solution for (5m-2)(m-8)=0 equation: 


Simplifying
(5m + -2)(m + -8) = 0

Reorder the terms:
(-2 + 5m)(m + -8) = 0

Reorder the terms:
(-2 + 5m)(-8 + m) = 0

Multiply (-2 + 5m) * (-8 + m)
(-2(-8 + m) + 5m * (-8 + m)) = 0
((-8 * -2 + m * -2) + 5m * (-8 + m)) = 0
((16 + -2m) + 5m * (-8 + m)) = 0
(16 + -2m + (-8 * 5m + m * 5m)) = 0
(16 + -2m + (-40m + 5m2)) = 0

Combine like terms: -2m + -40m = -42m
(16 + -42m + 5m2) = 0

Solving
16 + -42m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -5m)(8 + -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 '(8 + -1m)' equal to zero and attempt to solve:

Simplifying
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Divide each side by '-1'.
m = 8

Simplifying
m = 8
Solution
m = {0.4, 8}

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