6x^2+13=-18x-3x^2

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Solution for 6x^2+13=-18x-3x^2 equation: 


Simplifying
6x2 + 13 = -18x + -3x2

Reorder the terms:
13 + 6x2 = -18x + -3x2

Solving
13 + 6x2 = -18x + -3x2

Solving for variable 'x'.

Reorder the terms:
13 + 18x + 6x2 + 3x2 = -18x + -3x2 + 18x + 3x2

Combine like terms: 6x2 + 3x2 = 9x2
13 + 18x + 9x2 = -18x + -3x2 + 18x + 3x2

Reorder the terms:
13 + 18x + 9x2 = -18x + 18x + -3x2 + 3x2

Combine like terms: -18x + 18x = 0
13 + 18x + 9x2 = 0 + -3x2 + 3x2
13 + 18x + 9x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
13 + 18x + 9x2 = 0

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

Divide each side by '9'.
1.444444444 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.444444444' to each side of the equation.
1.444444444 + 2x + -1.444444444 + x2 = 0 + -1.444444444

Reorder the terms:
1.444444444 + -1.444444444 + 2x + x2 = 0 + -1.444444444

Combine like terms: 1.444444444 + -1.444444444 = 0.000000000
0.000000000 + 2x + x2 = 0 + -1.444444444
2x + x2 = 0 + -1.444444444

Combine like terms: 0 + -1.444444444 = -1.444444444
2x + x2 = -1.444444444

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1.444444444 + 1

Reorder the terms:
1 + 2x + x2 = -1.444444444 + 1

Combine like terms: -1.444444444 + 1 = -0.444444444
1 + 2x + x2 = -0.444444444

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.444444444

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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