4X^2-2X+8=8

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


Simplifying
4X2 + -2X + 8 = 8

Reorder the terms:
8 + -2X + 4X2 = 8

Add '-8' to each side of the equation.
8 + -2X + -8 + 4X2 = 8 + -8

Reorder the terms:
8 + -8 + -2X + 4X2 = 8 + -8

Combine like terms: 8 + -8 = 0
0 + -2X + 4X2 = 8 + -8
-2X + 4X2 = 8 + -8

Combine like terms: 8 + -8 = 0
-2X + 4X2 = 0

Solving
-2X + 4X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '2X'.
2X(-1 + 2X) = 0

Ignore the factor 2.

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 + 2X)' equal to zero and attempt to solve:

Simplifying
-1 + 2X = 0

Solving
-1 + 2X = 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 + 2X = 0 + 1

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

Combine like terms: 0 + 1 = 1
2X = 1

Divide each side by '2'.
X = 0.5

Simplifying
X = 0.5
Solution
X = {0, 0.5}

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