(x+1)(3-2x)=x^2-1

Solution for (x+1)(3-2x)=x^2-1 equation:

Simplifying
(x + 1)(3 + -2x) = x2 + -1

Reorder the terms:
(1 + x)(3 + -2x) = x2 + -1

Multiply (1 + x) * (3 + -2x)
(1(3 + -2x) + x(3 + -2x)) = x2 + -1
((3 * 1 + -2x * 1) + x(3 + -2x)) = x2 + -1
((3 + -2x) + x(3 + -2x)) = x2 + -1
(3 + -2x + (3 * x + -2x * x)) = x2 + -1
(3 + -2x + (3x + -2x2)) = x2 + -1

Combine like terms: -2x + 3x = 1x
(3 + 1x + -2x2) = x2 + -1

Reorder the terms:
3 + 1x + -2x2 = -1 + x2

Solving
3 + 1x + -2x2 = -1 + x2

Solving for variable 'x'.

Reorder the terms:
3 + 1 + 1x + -2x2 + -1x2 = -1 + x2 + 1 + -1x2

Combine like terms: 3 + 1 = 4
4 + 1x + -2x2 + -1x2 = -1 + x2 + 1 + -1x2

Combine like terms: -2x2 + -1x2 = -3x2
4 + 1x + -3x2 = -1 + x2 + 1 + -1x2

Reorder the terms:
4 + 1x + -3x2 = -1 + 1 + x2 + -1x2

Combine like terms: -1 + 1 = 0
4 + 1x + -3x2 = 0 + x2 + -1x2
4 + 1x + -3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 1x + -3x2 = 0

Factor a trinomial.
(4 + -3x)(1 + x) = 0

Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {1.333333333, -1}