-4=(x+4)(x+4)

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


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

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

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

Multiply (4 + x) * (4 + x)
-4 = (4(4 + x) + x(4 + x))
-4 = ((4 * 4 + x * 4) + x(4 + x))
-4 = ((16 + 4x) + x(4 + x))
-4 = (16 + 4x + (4 * x + x * x))
-4 = (16 + 4x + (4x + x2))

Combine like terms: 4x + 4x = 8x
-4 = (16 + 8x + x2)

Solving
-4 = 16 + 8x + x2

Solving for variable 'x'.

Combine like terms: -4 + -16 = -20
-20 + -8x + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
-20 + -8x + -1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
-20 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
-20 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-20 + -8x + -1x2 = 0 + x2 + -1x2
-20 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + -8x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 8x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(20 + 8x + x2)' equal to zero and attempt to solve:

Simplifying
20 + 8x + x2 = 0

Solving
20 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + 8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8x + x2 = 0 + -20
8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
8x + x2 = -20

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -20 + 16

Reorder the terms:
16 + 8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + 8x + x2 = -4

Factor a perfect square on the left side:
(x + 4)(x + 4) = -4

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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