(-20x+8)(-10x+2)=0

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Solution for (-20x+8)(-10x+2)=0 equation: 


Simplifying
(-20x + 8)(-10x + 2) = 0

Reorder the terms:
(8 + -20x)(-10x + 2) = 0

Reorder the terms:
(8 + -20x)(2 + -10x) = 0

Multiply (8 + -20x) * (2 + -10x)
(8(2 + -10x) + -20x * (2 + -10x)) = 0
((2 * 8 + -10x * 8) + -20x * (2 + -10x)) = 0
((16 + -80x) + -20x * (2 + -10x)) = 0
(16 + -80x + (2 * -20x + -10x * -20x)) = 0
(16 + -80x + (-40x + 200x2)) = 0

Combine like terms: -80x + -40x = -120x
(16 + -120x + 200x2) = 0

Solving
16 + -120x + 200x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(2 + -15x + 25x2) = 0

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

Ignore the factor 8.

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 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 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0.2, 0.4}

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