x^2+4x+4=9x+18

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Solution for x^2+4x+4=9x+18 equation: 


Simplifying
x2 + 4x + 4 = 9x + 18

Reorder the terms:
4 + 4x + x2 = 9x + 18

Reorder the terms:
4 + 4x + x2 = 18 + 9x

Solving
4 + 4x + x2 = 18 + 9x

Solving for variable 'x'.

Reorder the terms:
4 + -18 + 4x + -9x + x2 = 18 + 9x + -18 + -9x

Combine like terms: 4 + -18 = -14
-14 + 4x + -9x + x2 = 18 + 9x + -18 + -9x

Combine like terms: 4x + -9x = -5x
-14 + -5x + x2 = 18 + 9x + -18 + -9x

Reorder the terms:
-14 + -5x + x2 = 18 + -18 + 9x + -9x

Combine like terms: 18 + -18 = 0
-14 + -5x + x2 = 0 + 9x + -9x
-14 + -5x + x2 = 9x + -9x

Combine like terms: 9x + -9x = 0
-14 + -5x + x2 = 0

Factor a trinomial.
(-2 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-2, 7}

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