(x-1)(4x-8)=0

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Solution for (x-1)(4x-8)=0 equation: 


Simplifying
(x + -1)(4x + -8) = 0

Reorder the terms:
(-1 + x)(4x + -8) = 0

Reorder the terms:
(-1 + x)(-8 + 4x) = 0

Multiply (-1 + x) * (-8 + 4x)
(-1(-8 + 4x) + x(-8 + 4x)) = 0
((-8 * -1 + 4x * -1) + x(-8 + 4x)) = 0
((8 + -4x) + x(-8 + 4x)) = 0
(8 + -4x + (-8 * x + 4x * x)) = 0
(8 + -4x + (-8x + 4x2)) = 0

Combine like terms: -4x + -8x = -12x
(8 + -12x + 4x2) = 0

Solving
8 + -12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -3x + x2) = 0

Factor a trinomial.
4((1 + -1x)(2 + -1x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

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 = {1, 2}

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