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.
(-18 + -1x)(1 + -1x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {-18, 1}

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