36=2-x-3x^2

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Solution for 36=2-x-3x^2 equation:


Simplifying
36 = 2 + -1x + -3x2

Solving
36 = 2 + -1x + -3x2

Solving for variable 'x'.

Combine like terms: 36 + -2 = 34
34 + x + 3x2 = 2 + -1x + -3x2 + -2 + x + 3x2

Reorder the terms:
34 + x + 3x2 = 2 + -2 + -1x + x + -3x2 + 3x2

Combine like terms: 2 + -2 = 0
34 + x + 3x2 = 0 + -1x + x + -3x2 + 3x2
34 + x + 3x2 = -1x + x + -3x2 + 3x2

Combine like terms: -1x + x = 0
34 + x + 3x2 = 0 + -3x2 + 3x2
34 + x + 3x2 = -3x2 + 3x2

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

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

Divide each side by '3'.
11.33333333 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-11.33333333' to each side of the equation.
11.33333333 + 0.3333333333x + -11.33333333 + x2 = 0 + -11.33333333

Reorder the terms:
11.33333333 + -11.33333333 + 0.3333333333x + x2 = 0 + -11.33333333

Combine like terms: 11.33333333 + -11.33333333 = 0.00000000
0.00000000 + 0.3333333333x + x2 = 0 + -11.33333333
0.3333333333x + x2 = 0 + -11.33333333

Combine like terms: 0 + -11.33333333 = -11.33333333
0.3333333333x + x2 = -11.33333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.3333333333x + 0.25 + x2 = -11.33333333 + 0.25

Reorder the terms:
0.25 + 0.3333333333x + x2 = -11.33333333 + 0.25

Combine like terms: -11.33333333 + 0.25 = -11.08333333
0.25 + 0.3333333333x + x2 = -11.08333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -11.08333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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