0=x^2+2x-168

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Solution for 0=x^2+2x-168 equation:


Simplifying
0 = x2 + 2x + -168

Reorder the terms:
0 = -168 + 2x + x2

Solving
0 = -168 + 2x + x2

Solving for variable 'x'.

Combine like terms: 0 + 168 = 168
168 + -2x + -1x2 = -168 + 2x + x2 + 168 + -2x + -1x2

Reorder the terms:
168 + -2x + -1x2 = -168 + 168 + 2x + -2x + x2 + -1x2

Combine like terms: -168 + 168 = 0
168 + -2x + -1x2 = 0 + 2x + -2x + x2 + -1x2
168 + -2x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
168 + -2x + -1x2 = 0 + x2 + -1x2
168 + -2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
168 + -2x + -1x2 = 0

Factor a trinomial.
(12 + -1x)(14 + x) = 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 '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14

Solution

x = {12, -14}

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