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

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


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

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 = -4x
-12 + -4x + x2 = 4 + -2x + -4 + 2x

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

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

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