x(x+18)=9(4x-9)

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Solution for x(x+18)=9(4x-9) equation: 


Simplifying
x(x + 18) = 9(4x + -9)

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

Reorder the terms:
18x + x2 = 9(-9 + 4x)
18x + x2 = (-9 * 9 + 4x * 9)
18x + x2 = (-81 + 36x)

Solving
18x + x2 = -81 + 36x

Solving for variable 'x'.

Reorder the terms:
81 + 18x + -36x + x2 = -81 + 36x + 81 + -36x

Combine like terms: 18x + -36x = -18x
81 + -18x + x2 = -81 + 36x + 81 + -36x

Reorder the terms:
81 + -18x + x2 = -81 + 81 + 36x + -36x

Combine like terms: -81 + 81 = 0
81 + -18x + x2 = 0 + 36x + -36x
81 + -18x + x2 = 36x + -36x

Combine like terms: 36x + -36x = 0
81 + -18x + x2 = 0

Factor a trinomial.
(9 + -1x)(9 + -1x) = 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 '(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
Solution
x = {9, 9}

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