x^2+2x+6x+8=56

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Solution for x^2+2x+6x+8=56 equation:


Simplifying
x2 + 2x + 6x + 8 = 56

Reorder the terms:
8 + 2x + 6x + x2 = 56

Combine like terms: 2x + 6x = 8x
8 + 8x + x2 = 56

Solving
8 + 8x + x2 = 56

Solving for variable 'x'.

Reorder the terms:
8 + -56 + 8x + x2 = 56 + -56

Combine like terms: 8 + -56 = -48
-48 + 8x + x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-48 + 8x + x2 = 0

Factor a trinomial.
(-12 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-12, 4}

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