(x+1)(x+9)-(x-3)(x+5)=

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Solution for (x+1)(x+9)-(x-3)(x+5)= equation: 


Simplifying
(x + 1)(x + 9) + -1(x + -3)(x + 5) = 0

Reorder the terms:
(1 + x)(x + 9) + -1(x + -3)(x + 5) = 0

Reorder the terms:
(1 + x)(9 + x) + -1(x + -3)(x + 5) = 0

Multiply (1 + x) * (9 + x)
(1(9 + x) + x(9 + x)) + -1(x + -3)(x + 5) = 0
((9 * 1 + x * 1) + x(9 + x)) + -1(x + -3)(x + 5) = 0
((9 + 1x) + x(9 + x)) + -1(x + -3)(x + 5) = 0
(9 + 1x + (9 * x + x * x)) + -1(x + -3)(x + 5) = 0
(9 + 1x + (9x + x2)) + -1(x + -3)(x + 5) = 0

Combine like terms: 1x + 9x = 10x
(9 + 10x + x2) + -1(x + -3)(x + 5) = 0

Reorder the terms:
9 + 10x + x2 + -1(-3 + x)(x + 5) = 0

Reorder the terms:
9 + 10x + x2 + -1(-3 + x)(5 + x) = 0

Multiply (-3 + x) * (5 + x)
9 + 10x + x2 + -1(-3(5 + x) + x(5 + x)) = 0
9 + 10x + x2 + -1((5 * -3 + x * -3) + x(5 + x)) = 0
9 + 10x + x2 + -1((-15 + -3x) + x(5 + x)) = 0
9 + 10x + x2 + -1(-15 + -3x + (5 * x + x * x)) = 0
9 + 10x + x2 + -1(-15 + -3x + (5x + x2)) = 0

Combine like terms: -3x + 5x = 2x
9 + 10x + x2 + -1(-15 + 2x + x2) = 0
9 + 10x + x2 + (-15 * -1 + 2x * -1 + x2 * -1) = 0
9 + 10x + x2 + (15 + -2x + -1x2) = 0

Reorder the terms:
9 + 15 + 10x + -2x + x2 + -1x2 = 0

Combine like terms: 9 + 15 = 24
24 + 10x + -2x + x2 + -1x2 = 0

Combine like terms: 10x + -2x = 8x
24 + 8x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
24 + 8x + 0 = 0
24 + 8x = 0

Solving
24 + 8x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 8x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 8x = 0 + -24
8x = 0 + -24

Combine like terms: 0 + -24 = -24
8x = -24

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

Simplifying
x = -3

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