x^2-6x+8=2x-4

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Solution for x^2-6x+8=2x-4 equation:


Simplifying
x2 + -6x + 8 = 2x + -4

Reorder the terms:
8 + -6x + x2 = 2x + -4

Reorder the terms:
8 + -6x + x2 = -4 + 2x

Solving
8 + -6x + x2 = -4 + 2x

Solving for variable 'x'.

Reorder the terms:
8 + 4 + -6x + -2x + x2 = -4 + 2x + 4 + -2x

Combine like terms: 8 + 4 = 12
12 + -6x + -2x + x2 = -4 + 2x + 4 + -2x

Combine like terms: -6x + -2x = -8x
12 + -8x + x2 = -4 + 2x + 4 + -2x

Reorder the terms:
12 + -8x + x2 = -4 + 4 + 2x + -2x

Combine like terms: -4 + 4 = 0
12 + -8x + x2 = 0 + 2x + -2x
12 + -8x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -8x + x2 = 0

Factor a trinomial.
(2 + -1x)(6 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {2, 6}

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