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

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


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

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

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

Multiply (2 + 4m) * (-4 + 5m)
(2(-4 + 5m) + 4m * (-4 + 5m)) = 0
((-4 * 2 + 5m * 2) + 4m * (-4 + 5m)) = 0
((-8 + 10m) + 4m * (-4 + 5m)) = 0
(-8 + 10m + (-4 * 4m + 5m * 4m)) = 0
(-8 + 10m + (-16m + 20m2)) = 0

Combine like terms: 10m + -16m = -6m
(-8 + -6m + 20m2) = 0

Solving
-8 + -6m + 20m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -3m + 10m2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + -5m)' equal to zero and attempt to solve:

Simplifying
4 + -5m = 0

Solving
4 + -5m = 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 + -5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5m = 0 + -4
-5m = 0 + -4

Combine like terms: 0 + -4 = -4
-5m = -4

Divide each side by '-5'.
m = 0.8

Simplifying
m = 0.8
Solution
m = {-0.5, 0.8}

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