9x+18=x(x+2)-152

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Solution for 9x+18=x(x+2)-152 equation: 


Simplifying
9x + 18 = x(x + 2) + -152

Reorder the terms:
18 + 9x = x(x + 2) + -152

Reorder the terms:
18 + 9x = x(2 + x) + -152
18 + 9x = (2 * x + x * x) + -152
18 + 9x = (2x + x2) + -152

Reorder the terms:
18 + 9x = -152 + 2x + x2

Solving
18 + 9x = -152 + 2x + x2

Solving for variable 'x'.

Reorder the terms:
18 + 152 + 9x + -2x + -1x2 = -152 + 2x + x2 + 152 + -2x + -1x2

Combine like terms: 18 + 152 = 170
170 + 9x + -2x + -1x2 = -152 + 2x + x2 + 152 + -2x + -1x2

Combine like terms: 9x + -2x = 7x
170 + 7x + -1x2 = -152 + 2x + x2 + 152 + -2x + -1x2

Reorder the terms:
170 + 7x + -1x2 = -152 + 152 + 2x + -2x + x2 + -1x2

Combine like terms: -152 + 152 = 0
170 + 7x + -1x2 = 0 + 2x + -2x + x2 + -1x2
170 + 7x + -1x2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
170 + 7x + -1x2 = 0 + x2 + -1x2
170 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
170 + 7x + -1x2 = 0

Factor a trinomial.
(17 + -1x)(10 + x) = 0


Subproblem 1
Set the factor '(17 + -1x)' equal to zero and attempt to solve:

Simplifying
17 + -1x = 0

Solving
17 + -1x = 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 + -1x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 0 + -17
-1x = 0 + -17

Combine like terms: 0 + -17 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {17, -10}

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