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

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

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

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

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

Multiply (9 + x) * (5 + x)
(9(5 + x) + x(5 + x)) = (x + 1)(x + 1)
((5 * 9 + x * 9) + x(5 + x)) = (x + 1)(x + 1)
((45 + 9x) + x(5 + x)) = (x + 1)(x + 1)
(45 + 9x + (5 * x + x * x)) = (x + 1)(x + 1)
(45 + 9x + (5x + x2)) = (x + 1)(x + 1)

Combine like terms: 9x + 5x = 14x
(45 + 14x + x2) = (x + 1)(x + 1)

Reorder the terms:
45 + 14x + x2 = (1 + x)(x + 1)

Reorder the terms:
45 + 14x + x2 = (1 + x)(1 + x)

Multiply (1 + x) * (1 + x)
45 + 14x + x2 = (1(1 + x) + x(1 + x))
45 + 14x + x2 = ((1 * 1 + x * 1) + x(1 + x))
45 + 14x + x2 = ((1 + 1x) + x(1 + x))
45 + 14x + x2 = (1 + 1x + (1 * x + x * x))
45 + 14x + x2 = (1 + 1x + (1x + x2))

Combine like terms: 1x + 1x = 2x
45 + 14x + x2 = (1 + 2x + x2)

Add '-1x2' to each side of the equation.
45 + 14x + x2 + -1x2 = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + 14x + 0 = 1 + 2x + x2 + -1x2
45 + 14x = 1 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
45 + 14x = 1 + 2x + 0
45 + 14x = 1 + 2x

Solving
45 + 14x = 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.
45 + 14x + -2x = 1 + 2x + -2x

Combine like terms: 14x + -2x = 12x
45 + 12x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
45 + 12x = 1 + 0
45 + 12x = 1

Add '-45' to each side of the equation.
45 + -45 + 12x = 1 + -45

Combine like terms: 45 + -45 = 0
0 + 12x = 1 + -45
12x = 1 + -45

Combine like terms: 1 + -45 = -44
12x = -44

Divide each side by '12'.
x = -3.666666667

Simplifying
x = -3.666666667