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

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

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

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

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

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

Combine like terms: 1x + -5x = -4x
(-5 + -4x + x2) = -9

Solving
-5 + -4x + x2 = -9

Solving for variable 'x'.

Reorder the terms:
-5 + 9 + -4x + x2 = -9 + 9

Combine like terms: -5 + 9 = 4
4 + -4x + x2 = -9 + 9

Combine like terms: -9 + 9 = 0
4 + -4x + x2 = 0

Factor a trinomial.
(2 + -1x)(2 + -1x) = 0

Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2, 2}