x^2+3x+18=-x+6

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Solution for x^2+3x+18=-x+6 equation:


Simplifying
x2 + 3x + 18 = -1x + 6

Reorder the terms:
18 + 3x + x2 = -1x + 6

Reorder the terms:
18 + 3x + x2 = 6 + -1x

Solving
18 + 3x + x2 = 6 + -1x

Solving for variable 'x'.

Reorder the terms:
18 + -6 + 3x + x + x2 = 6 + -1x + -6 + x

Combine like terms: 18 + -6 = 12
12 + 3x + x + x2 = 6 + -1x + -6 + x

Combine like terms: 3x + x = 4x
12 + 4x + x2 = 6 + -1x + -6 + x

Reorder the terms:
12 + 4x + x2 = 6 + -6 + -1x + x

Combine like terms: 6 + -6 = 0
12 + 4x + x2 = 0 + -1x + x
12 + 4x + x2 = -1x + x

Combine like terms: -1x + x = 0
12 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 4x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 4x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4x + x2 = 0 + -12
4x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
4x + x2 = -12

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -12 + 4

Reorder the terms:
4 + 4x + x2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + 4x + x2 = -8

Factor a perfect square on the left side:
(x + 2)(x + 2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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