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

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


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

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

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

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

Combine like terms: 9x + -1x = 8x
(-9 + 8x + x2) = (x + 3)(x + 3)

Reorder the terms:
-9 + 8x + x2 = (3 + x)(x + 3)

Reorder the terms:
-9 + 8x + x2 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
-9 + 8x + x2 = (3(3 + x) + x(3 + x))
-9 + 8x + x2 = ((3 * 3 + x * 3) + x(3 + x))
-9 + 8x + x2 = ((9 + 3x) + x(3 + x))
-9 + 8x + x2 = (9 + 3x + (3 * x + x * x))
-9 + 8x + x2 = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
-9 + 8x + x2 = (9 + 6x + x2)

Add '-1x2' to each side of the equation.
-9 + 8x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 8x + 0 = 9 + 6x + x2 + -1x2
-9 + 8x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 8x = 9 + 6x + 0
-9 + 8x = 9 + 6x

Solving
-9 + 8x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + 8x + -6x = 9 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-9 + 2x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + 2x = 9 + 0
-9 + 2x = 9

Add '9' to each side of the equation.
-9 + 9 + 2x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 9 + 9
2x = 9 + 9

Combine like terms: 9 + 9 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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