-x^2-110x+18000=0

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Solution for -x^2-110x+18000=0 equation:


Simplifying
-1x2 + -110x + 18000 = 0

Reorder the terms:
18000 + -110x + -1x2 = 0

Solving
18000 + -110x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(90 + -1x)(200 + x) = 0

Subproblem 1

Set the factor '(90 + -1x)' equal to zero and attempt to solve: Simplifying 90 + -1x = 0 Solving 90 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -1x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -1x = 0 + -90 -1x = 0 + -90 Combine like terms: 0 + -90 = -90 -1x = -90 Divide each side by '-1'. x = 90 Simplifying x = 90

Subproblem 2

Set the factor '(200 + x)' equal to zero and attempt to solve: Simplifying 200 + x = 0 Solving 200 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + x = 0 + -200 Combine like terms: 200 + -200 = 0 0 + x = 0 + -200 x = 0 + -200 Combine like terms: 0 + -200 = -200 x = -200 Simplifying x = -200

Solution

x = {90, -200}

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