-1(x)=(3x^2)+6

Solution for -1(x)=(3x^2)+6 equation:

Simplifying
-1(x) = (3x2) + 6

Reorder the terms:
-1x = 6 + (3x2)

Solving
-1x = 6 + (3x2)

Solving for variable 'x'.

Reorder the terms:
-6 + -1x + (-3x2) = 6 + (3x2) + -6 + (-3x2)

Reorder the terms:
-6 + -1x + (-3x2) = 6 + -6 + (3x2) + (-3x2)

Combine like terms: 6 + -6 = 0
-6 + -1x + (-3x2) = 0 + (3x2) + (-3x2)
-6 + -1x + (-3x2) = (3x2) + (-3x2)

Combine like terms: (3x2) + (-3x2) = 0
-6 + -1x + (-3x2) = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + x + (3x2)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + x + (3x2))' equal to zero and attempt to solve:

Simplifying
6 + x + (3x2) = 0

Solving
6 + x + (3x2) = 0

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

Divide each side by '3'.
2 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.3333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + 0.3333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.3333333333x + x2 = 0 + -2
0.3333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.3333333333x + x2 = -2

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 = -2 + 0.25

Reorder the terms:
0.25 + 0.3333333333x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + 0.3333333333x + x2 = -1.75

Factor a perfect square on the left side:
((x) + 0.5)((x) + 0.5) = -1.75

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.