x(x-17)=18

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Solution for x(x-17)=18 equation:


Simplifying
x(x + -17) = 18

Reorder the terms:
x(-17 + x) = 18
(-17 * x + x * x) = 18
(-17x + x2) = 18

Solving
-17x + x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -17x + x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -17x + x2 = 0

Factor a trinomial.
(-1 + -1x)(18 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {-1, 18}

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