(x-1)(x+9)=

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

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

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

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

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

Combine like terms: -1x + 9x = 8x
(-9 + 8x + x2) = 0

Solving
-9 + 8x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-9, 1}