-2(x^2+3x+9)+3-9=0

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Solution for -2(x^2+3x+9)+3-9=0 equation: 


Simplifying
-2(x2 + 3x + 9) + 3 + -9 = 0

Reorder the terms:
-2(9 + 3x + x2) + 3 + -9 = 0
(9 * -2 + 3x * -2 + x2 * -2) + 3 + -9 = 0
(-18 + -6x + -2x2) + 3 + -9 = 0

Reorder the terms:
-18 + 3 + -9 + -6x + -2x2 = 0

Combine like terms: -18 + 3 = -15
-15 + -9 + -6x + -2x2 = 0

Combine like terms: -15 + -9 = -24
-24 + -6x + -2x2 = 0

Solving
-24 + -6x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(12 + 3x + x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(12 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
12 + 3x + x2 = 0

Solving
12 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 3x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 3x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x + x2 = 0 + -12
3x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
3x + x2 = -12

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -12 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -12 + 2.25

Combine like terms: -12 + 2.25 = -9.75
2.25 + 3x + x2 = -9.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -9.75

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.

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