0=x^2-x-182

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Solution for 0=x^2-x-182 equation:


Simplifying
0 = x2 + -1x + -182

Reorder the terms:
0 = -182 + -1x + x2

Solving
0 = -182 + -1x + x2

Solving for variable 'x'.

Combine like terms: 0 + 182 = 182
182 + x + -1x2 = -182 + -1x + x2 + 182 + x + -1x2

Reorder the terms:
182 + x + -1x2 = -182 + 182 + -1x + x + x2 + -1x2

Combine like terms: -182 + 182 = 0
182 + x + -1x2 = 0 + -1x + x + x2 + -1x2
182 + x + -1x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
182 + x + -1x2 = 0 + x2 + -1x2
182 + x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
182 + x + -1x2 = 0

Factor a trinomial.
(14 + -1x)(13 + x) = 0

Subproblem 1

Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 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 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Subproblem 2

Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13

Solution

x = {14, -13}

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