(5x-8)(x-4)=0

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Solution for (5x-8)(x-4)=0 equation: 


Simplifying
(5x + -8)(x + -4) = 0

Reorder the terms:
(-8 + 5x)(x + -4) = 0

Reorder the terms:
(-8 + 5x)(-4 + x) = 0

Multiply (-8 + 5x) * (-4 + x)
(-8(-4 + x) + 5x * (-4 + x)) = 0
((-4 * -8 + x * -8) + 5x * (-4 + x)) = 0
((32 + -8x) + 5x * (-4 + x)) = 0
(32 + -8x + (-4 * 5x + x * 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.
(8 + -5x)(4 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

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

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

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

Simplifying
x = 4
Solution
x = {1.6, 4}

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