2x+18=x^2-5x

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Solution for 2x+18=x^2-5x equation: 


Simplifying
2x + 18 = x2 + -5x

Reorder the terms:
18 + 2x = x2 + -5x

Reorder the terms:
18 + 2x = -5x + x2

Solving
18 + 2x = -5x + x2

Solving for variable 'x'.

Combine like terms: 2x + 5x = 7x
18 + 7x + -1x2 = -5x + x2 + 5x + -1x2

Reorder the terms:
18 + 7x + -1x2 = -5x + 5x + x2 + -1x2

Combine like terms: -5x + 5x = 0
18 + 7x + -1x2 = 0 + x2 + -1x2
18 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
18 + 7x + -1x2 = 0

Factor a trinomial.
(9 + -1x)(2 + x) = 0


Subproblem 1
Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {9, -2}

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