(x+4)(x+4)=-17

Solution for (x+4)(x+4)=-17 equation:

Simplifying
(x + 4)(x + 4) = -17

Reorder the terms:
(4 + x)(x + 4) = -17

Reorder the terms:
(4 + x)(4 + x) = -17

Multiply (4 + x) * (4 + x)
(4(4 + x) + x(4 + x)) = -17
((4 * 4 + x * 4) + x(4 + x)) = -17
((16 + 4x) + x(4 + x)) = -17
(16 + 4x + (4 * x + x * x)) = -17
(16 + 4x + (4x + x2)) = -17

Combine like terms: 4x + 4x = 8x
(16 + 8x + x2) = -17

Solving
16 + 8x + x2 = -17

Solving for variable 'x'.

Reorder the terms:
16 + 17 + 8x + x2 = -17 + 17

Combine like terms: 16 + 17 = 33
33 + 8x + x2 = -17 + 17

Combine like terms: -17 + 17 = 0
33 + 8x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 8x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + 8x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 8x + x2 = 0 + -33
8x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
8x + x2 = -33

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 = -33 + 16

Reorder the terms:
16 + 8x + x2 = -33 + 16

Combine like terms: -33 + 16 = -17
16 + 8x + x2 = -17

Factor a perfect square on the left side:
(x + 4)(x + 4) = -17

Can't calculate square root of the right side.

The solution to this equation could not be determined.