x(x-16)=-32(x+3)

Solution for x(x-16)=-32(x+3) equation:

Simplifying
x(x + -16) = -32(x + 3)

Reorder the terms:
x(-16 + x) = -32(x + 3)
(-16 * x + x * x) = -32(x + 3)
(-16x + x2) = -32(x + 3)

Reorder the terms:
-16x + x2 = -32(3 + x)
-16x + x2 = (3 * -32 + x * -32)
-16x + x2 = (-96 + -32x)

Solving
-16x + x2 = -96 + -32x

Solving for variable 'x'.

Reorder the terms:
96 + -16x + 32x + x2 = -96 + -32x + 96 + 32x

Combine like terms: -16x + 32x = 16x
96 + 16x + x2 = -96 + -32x + 96 + 32x

Reorder the terms:
96 + 16x + x2 = -96 + 96 + -32x + 32x

Combine like terms: -96 + 96 = 0
96 + 16x + x2 = 0 + -32x + 32x
96 + 16x + x2 = -32x + 32x

Combine like terms: -32x + 32x = 0
96 + 16x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-96' to each side of the equation.
96 + 16x + -96 + x2 = 0 + -96

Reorder the terms:
96 + -96 + 16x + x2 = 0 + -96

Combine like terms: 96 + -96 = 0
0 + 16x + x2 = 0 + -96
16x + x2 = 0 + -96

Combine like terms: 0 + -96 = -96
16x + x2 = -96

The x term is 16x.  Take half its coefficient (8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
16x + 64 + x2 = -96 + 64

Reorder the terms:
64 + 16x + x2 = -96 + 64

Combine like terms: -96 + 64 = -32
64 + 16x + x2 = -32

Factor a perfect square on the left side:
(x + 8)(x + 8) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.