(-x)(-x+1)=182

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Solution for (-x)(-x+1)=182 equation:


Simplifying
(-1x)(-1x + 1) = 182

Remove parenthesis around (-1x)
-1x(-1x + 1) = 182

Reorder the terms:
-1x(1 + -1x) = 182
(1 * -1x + -1x * -1x) = 182
(-1x + 1x2) = 182

Solving
-1x + 1x2 = 182

Solving for variable 'x'.

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

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

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

Subproblem 1

Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 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 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13

Subproblem 2

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

Solution

x = {-13, 14}

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