x(x+1)-1(x+1)=

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

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

Reorder the terms:
x(1 + x) + -1(x + 1) = 0
(1 * x + x * x) + -1(x + 1) = 0
(1x + x2) + -1(x + 1) = 0

Reorder the terms:
1x + x2 + -1(1 + x) = 0
1x + x2 + (1 * -1 + x * -1) = 0
1x + x2 + (-1 + -1x) = 0

Reorder the terms:
-1 + 1x + -1x + x2 = 0

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

Solving
-1 + x2 = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x2 = 0 + 1
x2 = 0 + 1

Combine like terms: 0 + 1 = 1
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}