-4(x+3)(x+3)=28

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Solution for -4(x+3)(x+3)=28 equation: 


Simplifying
-4(x + 3)(x + 3) = 28

Reorder the terms:
-4(3 + x)(x + 3) = 28

Reorder the terms:
-4(3 + x)(3 + x) = 28

Multiply (3 + x) * (3 + x)
-4(3(3 + x) + x(3 + x)) = 28
-4((3 * 3 + x * 3) + x(3 + x)) = 28
-4((9 + 3x) + x(3 + x)) = 28
-4(9 + 3x + (3 * x + x * x)) = 28
-4(9 + 3x + (3x + x2)) = 28

Combine like terms: 3x + 3x = 6x
-4(9 + 6x + x2) = 28
(9 * -4 + 6x * -4 + x2 * -4) = 28
(-36 + -24x + -4x2) = 28

Solving
-36 + -24x + -4x2 = 28

Solving for variable 'x'.

Reorder the terms:
-36 + -28 + -24x + -4x2 = 28 + -28

Combine like terms: -36 + -28 = -64
-64 + -24x + -4x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-64 + -24x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(16 + 6x + x2) = 0

Ignore the factor -4.

Subproblem 1
Set the factor '(16 + 6x + x2)' equal to zero and attempt to solve:

Simplifying
16 + 6x + x2 = 0

Solving
16 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 6x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 6x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 6x + x2 = 0 + -16
6x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
6x + x2 = -16

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -16 + 9

Reorder the terms:
9 + 6x + x2 = -16 + 9

Combine like terms: -16 + 9 = -7
9 + 6x + x2 = -7

Factor a perfect square on the left side:
(x + 3)(x + 3) = -7

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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