(x+3)(x+6)=9x+22

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Solution for (x+3)(x+6)=9x+22 equation: 


Simplifying
(x + 3)(x + 6) = 9x + 22

Reorder the terms:
(3 + x)(x + 6) = 9x + 22

Reorder the terms:
(3 + x)(6 + x) = 9x + 22

Multiply (3 + x) * (6 + x)
(3(6 + x) + x(6 + x)) = 9x + 22
((6 * 3 + x * 3) + x(6 + x)) = 9x + 22
((18 + 3x) + x(6 + x)) = 9x + 22
(18 + 3x + (6 * x + x * x)) = 9x + 22
(18 + 3x + (6x + x2)) = 9x + 22

Combine like terms: 3x + 6x = 9x
(18 + 9x + x2) = 9x + 22

Reorder the terms:
18 + 9x + x2 = 22 + 9x

Add '-9x' to each side of the equation.
18 + 9x + -9x + x2 = 22 + 9x + -9x

Combine like terms: 9x + -9x = 0
18 + 0 + x2 = 22 + 9x + -9x
18 + x2 = 22 + 9x + -9x

Combine like terms: 9x + -9x = 0
18 + x2 = 22 + 0
18 + x2 = 22

Solving
18 + x2 = 22

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + x2 = 22 + -18

Combine like terms: 18 + -18 = 0
0 + x2 = 22 + -18
x2 = 22 + -18

Combine like terms: 22 + -18 = 4
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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