(2x^2-2x+12)+(x^2+4x-6)=

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Solution for (2x^2-2x+12)+(x^2+4x-6)= equation:


Simplifying
(2x2 + -2x + 12) + (x2 + 4x + -6) = 0

Reorder the terms:
(12 + -2x + 2x2) + (x2 + 4x + -6) = 0

Remove parenthesis around (12 + -2x + 2x2)
12 + -2x + 2x2 + (x2 + 4x + -6) = 0

Reorder the terms:
12 + -2x + 2x2 + (-6 + 4x + x2) = 0

Remove parenthesis around (-6 + 4x + x2)
12 + -2x + 2x2 + -6 + 4x + x2 = 0

Reorder the terms:
12 + -6 + -2x + 4x + 2x2 + x2 = 0

Combine like terms: 12 + -6 = 6
6 + -2x + 4x + 2x2 + x2 = 0

Combine like terms: -2x + 4x = 2x
6 + 2x + 2x2 + x2 = 0

Combine like terms: 2x2 + x2 = 3x2
6 + 2x + 3x2 = 0

Solving
6 + 2x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.6666666667x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 0.6666666667x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.6666666667x + x2 = 0 + -2
0.6666666667x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.6666666667x + x2 = -2

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -2 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -2 + 0.1111111112

Combine like terms: -2 + 0.1111111112 = -1.8888888888
0.1111111112 + 0.6666666667x + x2 = -1.8888888888

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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