x^2+18x=-17

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Solution for x^2+18x=-17 equation:


Simplifying
x2 + 18x = -17

Reorder the terms:
18x + x2 = -17

Solving
18x + x2 = -17

Solving for variable 'x'.

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

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

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

Subproblem 1

Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 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 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17

Subproblem 2

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

Solution

x = {-17, -1}

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