540=((x)(x+4))9

Solution for 540=((x)(x+4))9 equation:

Simplifying
540 = ((x)(x + 4)) * 9

Reorder the terms:
540 = (x(4 + x)) * 9
540 = ((4 * x + x * x)) * 9
540 = ((4x + x2)) * 9

Reorder the terms for easier multiplication:
540 = 9(4x + x2)
540 = (4x * 9 + x2 * 9)
540 = (36x + 9x2)

Solving
540 = 36x + 9x2

Solving for variable 'x'.

Reorder the terms:
540 + -36x + -9x2 = 36x + -36x + 9x2 + -9x2

Combine like terms: 36x + -36x = 0
540 + -36x + -9x2 = 0 + 9x2 + -9x2
540 + -36x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
540 + -36x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(60 + -4x + -1x2) = 0

Factor a trinomial.
9((6 + -1x)(10 + x)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
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 = {6, -10}