(x+9)(x-3)=(x+1)(x+1)

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Solution for (x+9)(x-3)=(x+1)(x+1) equation: 


Simplifying
(x + 9)(x + -3) = (x + 1)(x + 1)

Reorder the terms:
(9 + x)(x + -3) = (x + 1)(x + 1)

Reorder the terms:
(9 + x)(-3 + x) = (x + 1)(x + 1)

Multiply (9 + x) * (-3 + x)
(9(-3 + x) + x(-3 + x)) = (x + 1)(x + 1)
((-3 * 9 + x * 9) + x(-3 + x)) = (x + 1)(x + 1)
((-27 + 9x) + x(-3 + x)) = (x + 1)(x + 1)
(-27 + 9x + (-3 * x + x * x)) = (x + 1)(x + 1)
(-27 + 9x + (-3x + x2)) = (x + 1)(x + 1)

Combine like terms: 9x + -3x = 6x
(-27 + 6x + x2) = (x + 1)(x + 1)

Reorder the terms:
-27 + 6x + x2 = (1 + x)(x + 1)

Reorder the terms:
-27 + 6x + x2 = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
-27 + 6x + x2 = (1(1 + x) + x(1 + x))
-27 + 6x + x2 = ((1 * 1 + x * 1) + x(1 + x))
-27 + 6x + x2 = ((1 + 1x) + x(1 + x))
-27 + 6x + x2 = (1 + 1x + (1 * x + x * x))
-27 + 6x + x2 = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
-27 + 6x + x2 = (1 + 2x + x2)

Add '-1x2' to each side of the equation.
-27 + 6x + x2 + -1x2 = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-27 + 6x + 0 = 1 + 2x + x2 + -1x2
-27 + 6x = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-27 + 6x = 1 + 2x + 0
-27 + 6x = 1 + 2x

Solving
-27 + 6x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-27 + 6x + -2x = 1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-27 + 4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 4x = 1 + 0
-27 + 4x = 1

Add '27' to each side of the equation.
-27 + 27 + 4x = 1 + 27

Combine like terms: -27 + 27 = 0
0 + 4x = 1 + 27
4x = 1 + 27

Combine like terms: 1 + 27 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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