4x^2-4x+8=8

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Solution for 4x^2-4x+8=8 equation: 


Simplifying
4x2 + -4x + 8 = 8

Reorder the terms:
8 + -4x + 4x2 = 8

Add '-8' to each side of the equation.
8 + -4x + -8 + 4x2 = 8 + -8

Reorder the terms:
8 + -8 + -4x + 4x2 = 8 + -8

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

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

Solving
-4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-1 + x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-1 + x = 0

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

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

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

Simplifying
x = 1
Solution
x = {0, 1}

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