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

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


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

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

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

Multiply (4 + -2x) * (5 + -8x)
(4(5 + -8x) + -2x * (5 + -8x)) = 0
((5 * 4 + -8x * 4) + -2x * (5 + -8x)) = 0
((20 + -32x) + -2x * (5 + -8x)) = 0
(20 + -32x + (5 * -2x + -8x * -2x)) = 0
(20 + -32x + (-10x + 16x2)) = 0

Combine like terms: -32x + -10x = -42x
(20 + -42x + 16x2) = 0

Solving
20 + -42x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -21x + 8x2) = 0

Factor a trinomial.
2((5 + -8x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -8x)' equal to zero and attempt to solve:

Simplifying
5 + -8x = 0

Solving
5 + -8x = 0

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

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

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

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

Divide each side by '-8'.
x = 0.625

Simplifying
x = 0.625

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.625, 2}

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