-3(x+2)(x+2)-4=0

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Solution for -3(x+2)(x+2)-4=0 equation: 


Simplifying
-3(x + 2)(x + 2) + -4 = 0

Reorder the terms:
-3(2 + x)(x + 2) + -4 = 0

Reorder the terms:
-3(2 + x)(2 + x) + -4 = 0

Multiply (2 + x) * (2 + x)
-3(2(2 + x) + x(2 + x)) + -4 = 0
-3((2 * 2 + x * 2) + x(2 + x)) + -4 = 0
-3((4 + 2x) + x(2 + x)) + -4 = 0
-3(4 + 2x + (2 * x + x * x)) + -4 = 0
-3(4 + 2x + (2x + x2)) + -4 = 0

Combine like terms: 2x + 2x = 4x
-3(4 + 4x + x2) + -4 = 0
(4 * -3 + 4x * -3 + x2 * -3) + -4 = 0
(-12 + -12x + -3x2) + -4 = 0

Reorder the terms:
-12 + -4 + -12x + -3x2 = 0

Combine like terms: -12 + -4 = -16
-16 + -12x + -3x2 = 0

Solving
-16 + -12x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 12x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(16 + 12x + 3x2)' equal to zero and attempt to solve:

Simplifying
16 + 12x + 3x2 = 0

Solving
16 + 12x + 3x2 = 0

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

Divide each side by '3'.
5.333333333 + 4x + x2 = 0

Move the constant term to the right:

Add '-5.333333333' to each side of the equation.
5.333333333 + 4x + -5.333333333 + x2 = 0 + -5.333333333

Reorder the terms:
5.333333333 + -5.333333333 + 4x + x2 = 0 + -5.333333333

Combine like terms: 5.333333333 + -5.333333333 = 0.000000000
0.000000000 + 4x + x2 = 0 + -5.333333333
4x + x2 = 0 + -5.333333333

Combine like terms: 0 + -5.333333333 = -5.333333333
4x + x2 = -5.333333333

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -5.333333333 + 4

Reorder the terms:
4 + 4x + x2 = -5.333333333 + 4

Combine like terms: -5.333333333 + 4 = -1.333333333
4 + 4x + x2 = -1.333333333

Factor a perfect square on the left side:
(x + 2)(x + 2) = -1.333333333

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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