(x+2)(x+1)=6x-18

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Solution for (x+2)(x+1)=6x-18 equation: 


Simplifying
(x + 2)(x + 1) = 6x + -18

Reorder the terms:
(2 + x)(x + 1) = 6x + -18

Reorder the terms:
(2 + x)(1 + x) = 6x + -18

Multiply (2 + x) * (1 + x)
(2(1 + x) + x(1 + x)) = 6x + -18
((1 * 2 + x * 2) + x(1 + x)) = 6x + -18
((2 + 2x) + x(1 + x)) = 6x + -18
(2 + 2x + (1 * x + x * x)) = 6x + -18
(2 + 2x + (1x + x2)) = 6x + -18

Combine like terms: 2x + 1x = 3x
(2 + 3x + x2) = 6x + -18

Reorder the terms:
2 + 3x + x2 = -18 + 6x

Solving
2 + 3x + x2 = -18 + 6x

Solving for variable 'x'.

Reorder the terms:
2 + 18 + 3x + -6x + x2 = -18 + 6x + 18 + -6x

Combine like terms: 2 + 18 = 20
20 + 3x + -6x + x2 = -18 + 6x + 18 + -6x

Combine like terms: 3x + -6x = -3x
20 + -3x + x2 = -18 + 6x + 18 + -6x

Reorder the terms:
20 + -3x + x2 = -18 + 18 + 6x + -6x

Combine like terms: -18 + 18 = 0
20 + -3x + x2 = 0 + 6x + -6x
20 + -3x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -3x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -3x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3x + x2 = 0 + -20
-3x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-3x + x2 = -20

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 = -20 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -20 + 2.25

Combine like terms: -20 + 2.25 = -17.75
2.25 + -3x + x2 = -17.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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