(x-1)(x+9)=56

Solution for (x-1)(x+9)=56 equation:

Simplifying
(x + -1)(x + 9) = 56

Reorder the terms:
(-1 + x)(x + 9) = 56

Reorder the terms:
(-1 + x)(9 + x) = 56

Multiply (-1 + x) * (9 + x)
(-1(9 + x) + x(9 + x)) = 56
((9 * -1 + x * -1) + x(9 + x)) = 56
((-9 + -1x) + x(9 + x)) = 56
(-9 + -1x + (9 * x + x * x)) = 56
(-9 + -1x + (9x + x2)) = 56

Combine like terms: -1x + 9x = 8x
(-9 + 8x + x2) = 56

Solving
-9 + 8x + x2 = 56

Solving for variable 'x'.

Reorder the terms:
-9 + -56 + 8x + x2 = 56 + -56

Combine like terms: -9 + -56 = -65
-65 + 8x + x2 = 56 + -56

Combine like terms: 56 + -56 = 0
-65 + 8x + x2 = 0

Factor a trinomial.
(-13 + -1x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-13, 5}