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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

Begin completing the square.

Move the constant term to the right:

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

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

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

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

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1x + x2 = -0.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.