x(x-2)=323

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Solution for x(x-2)=323 equation:


Simplifying
x(x + -2) = 323

Reorder the terms:
x(-2 + x) = 323
(-2 * x + x * x) = 323
(-2x + x2) = 323

Solving
-2x + x2 = 323

Solving for variable 'x'.

Reorder the terms:
-323 + -2x + x2 = 323 + -323

Combine like terms: 323 + -323 = 0
-323 + -2x + x2 = 0

Factor a trinomial.
(-17 + -1x)(19 + -1x) = 0

Subproblem 1

Set the factor '(-17 + -1x)' equal to zero and attempt to solve: Simplifying -17 + -1x = 0 Solving -17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17

Subproblem 2

Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19

Solution

x = {-17, 19}

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