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

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


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

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

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

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

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

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

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

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

Combine like terms: -5x + -1x = -6x
9 + 10x + x2 + -1(5 + -6x + x2) = 0
9 + 10x + x2 + (5 * -1 + -6x * -1 + x2 * -1) = 0
9 + 10x + x2 + (-5 + 6x + -1x2) = 0

Reorder the terms:
9 + -5 + 10x + 6x + x2 + -1x2 = 0

Combine like terms: 9 + -5 = 4
4 + 10x + 6x + x2 + -1x2 = 0

Combine like terms: 10x + 6x = 16x
4 + 16x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
4 + 16x + 0 = 0
4 + 16x = 0

Solving
4 + 16x = 0

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 16x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 16x = 0 + -4
16x = 0 + -4

Combine like terms: 0 + -4 = -4
16x = -4

Divide each side by '16'.
x = -0.25

Simplifying
x = -0.25

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