(x+1)(x+2)=-2.25

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Solution for (x+1)(x+2)=-2.25 equation: 


Simplifying
(x + 1)(x + 2) = -2.25

Reorder the terms:
(1 + x)(x + 2) = -2.25

Reorder the terms:
(1 + x)(2 + x) = -2.25

Multiply (1 + x) * (2 + x)
(1(2 + x) + x(2 + x)) = -2.25
((2 * 1 + x * 1) + x(2 + x)) = -2.25
((2 + 1x) + x(2 + x)) = -2.25
(2 + 1x + (2 * x + x * x)) = -2.25
(2 + 1x + (2x + x2)) = -2.25

Combine like terms: 1x + 2x = 3x
(2 + 3x + x2) = -2.25

Solving
2 + 3x + x2 = -2.25

Solving for variable 'x'.

Reorder the terms:
2 + 2.25 + 3x + x2 = -2.25 + 2.25

Combine like terms: 2 + 2.25 = 4.25
4.25 + 3x + x2 = -2.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
4.25 + 3x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + 3x + -4.25 + x2 = 0.00 + -4.25

Reorder the terms:
4.25 + -4.25 + 3x + x2 = 0.00 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + 3x + x2 = 0.00 + -4.25
3x + x2 = 0.00 + -4.25

Combine like terms: 0.00 + -4.25 = -4.25
3x + x2 = -4.25

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -4.25 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -4.25 + 2.25

Combine like terms: -4.25 + 2.25 = -2
2.25 + 3x + x2 = -2

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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