-1=2x^2+2x+12

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Solution for -1=2x^2+2x+12 equation: 


Simplifying
-1 = 2x2 + 2x + 12

Reorder the terms:
-1 = 12 + 2x + 2x2

Solving
-1 = 12 + 2x + 2x2

Solving for variable 'x'.

Combine like terms: -1 + -12 = -13
-13 + -2x + -2x2 = 12 + 2x + 2x2 + -12 + -2x + -2x2

Reorder the terms:
-13 + -2x + -2x2 = 12 + -12 + 2x + -2x + 2x2 + -2x2

Combine like terms: 12 + -12 = 0
-13 + -2x + -2x2 = 0 + 2x + -2x + 2x2 + -2x2
-13 + -2x + -2x2 = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
-13 + -2x + -2x2 = 0 + 2x2 + -2x2
-13 + -2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-13 + -2x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 2x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 2x + 2x2)' equal to zero and attempt to solve:

Simplifying
13 + 2x + 2x2 = 0

Solving
13 + 2x + 2x2 = 0

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

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

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + x + -6.5 + x2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + x + x2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + x + x2 = 0 + -6.5
x + x2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
x + x2 = -6.5

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.
 + 0.25 + x2 = -6.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -6.5 + 0.25

Combine like terms: -6.5 + 0.25 = -6.25
1.25 + x2 = -6.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -6.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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