(x+3)(x-5)=(x+3)(x+3)

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Solution for (x+3)(x-5)=(x+3)(x+3) equation: 


Simplifying
(x + 3)(x + -5) = (x + 3)(x + 3)

Reorder the terms:
(3 + x)(x + -5) = (x + 3)(x + 3)

Reorder the terms:
(3 + x)(-5 + x) = (x + 3)(x + 3)

Multiply (3 + x) * (-5 + x)
(3(-5 + x) + x(-5 + x)) = (x + 3)(x + 3)
((-5 * 3 + x * 3) + x(-5 + x)) = (x + 3)(x + 3)
((-15 + 3x) + x(-5 + x)) = (x + 3)(x + 3)
(-15 + 3x + (-5 * x + x * x)) = (x + 3)(x + 3)
(-15 + 3x + (-5x + x2)) = (x + 3)(x + 3)

Combine like terms: 3x + -5x = -2x
(-15 + -2x + x2) = (x + 3)(x + 3)

Reorder the terms:
-15 + -2x + x2 = (3 + x)(x + 3)

Reorder the terms:
-15 + -2x + x2 = (3 + x)(3 + x)

Multiply (3 + x) * (3 + x)
-15 + -2x + x2 = (3(3 + x) + x(3 + x))
-15 + -2x + x2 = ((3 * 3 + x * 3) + x(3 + x))
-15 + -2x + x2 = ((9 + 3x) + x(3 + x))
-15 + -2x + x2 = (9 + 3x + (3 * x + x * x))
-15 + -2x + x2 = (9 + 3x + (3x + x2))

Combine like terms: 3x + 3x = 6x
-15 + -2x + x2 = (9 + 6x + x2)

Add '-1x2' to each side of the equation.
-15 + -2x + x2 + -1x2 = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + -2x + 0 = 9 + 6x + x2 + -1x2
-15 + -2x = 9 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + -2x = 9 + 6x + 0
-15 + -2x = 9 + 6x

Solving
-15 + -2x = 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.
-15 + -2x + -6x = 9 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-15 + -8x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -8x = 9 + 0
-15 + -8x = 9

Add '15' to each side of the equation.
-15 + 15 + -8x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + -8x = 9 + 15
-8x = 9 + 15

Combine like terms: 9 + 15 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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