x^2+3x+3-6x+18=2x-10

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Solution for x^2+3x+3-6x+18=2x-10 equation: 


Simplifying
x2 + 3x + 3 + -6x + 18 = 2x + -10

Reorder the terms:
3 + 18 + 3x + -6x + x2 = 2x + -10

Combine like terms: 3 + 18 = 21
21 + 3x + -6x + x2 = 2x + -10

Combine like terms: 3x + -6x = -3x
21 + -3x + x2 = 2x + -10

Reorder the terms:
21 + -3x + x2 = -10 + 2x

Solving
21 + -3x + x2 = -10 + 2x

Solving for variable 'x'.

Reorder the terms:
21 + 10 + -3x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: 21 + 10 = 31
31 + -3x + -2x + x2 = -10 + 2x + 10 + -2x

Combine like terms: -3x + -2x = -5x
31 + -5x + x2 = -10 + 2x + 10 + -2x

Reorder the terms:
31 + -5x + x2 = -10 + 10 + 2x + -2x

Combine like terms: -10 + 10 = 0
31 + -5x + x2 = 0 + 2x + -2x
31 + -5x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
31 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-31' to each side of the equation.
31 + -5x + -31 + x2 = 0 + -31

Reorder the terms:
31 + -31 + -5x + x2 = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -5x + x2 = 0 + -31
-5x + x2 = 0 + -31

Combine like terms: 0 + -31 = -31
-5x + x2 = -31

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -31 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -31 + 6.25

Combine like terms: -31 + 6.25 = -24.75
6.25 + -5x + x2 = -24.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -24.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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