(4-5x)(2x-8)=

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Solution for (4-5x)(2x-8)= equation: 


Simplifying
(4 + -5x)(2x + -8) = 0

Reorder the terms:
(4 + -5x)(-8 + 2x) = 0

Multiply (4 + -5x) * (-8 + 2x)
(4(-8 + 2x) + -5x * (-8 + 2x)) = 0
((-8 * 4 + 2x * 4) + -5x * (-8 + 2x)) = 0
((-32 + 8x) + -5x * (-8 + 2x)) = 0
(-32 + 8x + (-8 * -5x + 2x * -5x)) = 0
(-32 + 8x + (40x + -10x2)) = 0

Combine like terms: 8x + 40x = 48x
(-32 + 48x + -10x2) = 0

Solving
-32 + 48x + -10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 24x + -5x2) = 0

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

Ignore the factor 2.

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 '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 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 + -5x = 0 + -4

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

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

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

Simplifying
x = 0.8
Solution
x = {4, 0.8}

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