(5X+8)(1X+4)=0

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Solution for (5X+8)(1X+4)=0 equation: 


Simplifying
(5X + 8)(1X + 4) = 0

Reorder the terms:
(8 + 5X)(1X + 4) = 0

Reorder the terms:
(8 + 5X)(4 + 1X) = 0

Multiply (8 + 5X) * (4 + 1X)
(8(4 + 1X) + 5X * (4 + 1X)) = 0
((4 * 8 + 1X * 8) + 5X * (4 + 1X)) = 0
((32 + 8X) + 5X * (4 + 1X)) = 0
(32 + 8X + (4 * 5X + 1X * 5X)) = 0
(32 + 8X + (20X + 5X2)) = 0

Combine like terms: 8X + 20X = 28X
(32 + 28X + 5X2) = 0

Solving
32 + 28X + 5X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(4 + X)(8 + 5X) = 0


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

Simplifying
4 + X = 0

Solving
4 + X = 0

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

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

Combine like terms: 4 + -4 = 0
0 + X = 0 + -4
X = 0 + -4

Combine like terms: 0 + -4 = -4
X = -4

Simplifying
X = -4

Subproblem 2
Set the factor '(8 + 5X)' equal to zero and attempt to solve:

Simplifying
8 + 5X = 0

Solving
8 + 5X = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5X = 0 + -8
5X = 0 + -8

Combine like terms: 0 + -8 = -8
5X = -8

Divide each side by '5'.
X = -1.6

Simplifying
X = -1.6
Solution
X = {-4, -1.6}

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