0=2(x^2-6x+8)

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Solution for 0=2(x^2-6x+8) equation: 


Simplifying
0 = 2(x2 + -6x + 8)

Reorder the terms:
0 = 2(8 + -6x + x2)
0 = (8 * 2 + -6x * 2 + x2 * 2)
0 = (16 + -12x + 2x2)

Solving
0 = 16 + -12x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -16 = -16
-16 + 12x + -2x2 = 16 + -12x + 2x2 + -16 + 12x + -2x2

Reorder the terms:
-16 + 12x + -2x2 = 16 + -16 + -12x + 12x + 2x2 + -2x2

Combine like terms: 16 + -16 = 0
-16 + 12x + -2x2 = 0 + -12x + 12x + 2x2 + -2x2
-16 + 12x + -2x2 = -12x + 12x + 2x2 + -2x2

Combine like terms: -12x + 12x = 0
-16 + 12x + -2x2 = 0 + 2x2 + -2x2
-16 + 12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-16 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + 6x + -1x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

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

Combine like terms: 0 + 4 = 4
x = 4

Simplifying
x = 4

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 = {4, 2}

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