(x+4)(x-3)=-16

Solution for (x+4)(x-3)=-16 equation:

Simplifying
(x + 4)(x + -3) = -16

Reorder the terms:
(4 + x)(x + -3) = -16

Reorder the terms:
(4 + x)(-3 + x) = -16

Multiply (4 + x) * (-3 + x)
(4(-3 + x) + x(-3 + x)) = -16
((-3 * 4 + x * 4) + x(-3 + x)) = -16
((-12 + 4x) + x(-3 + x)) = -16
(-12 + 4x + (-3 * x + x * x)) = -16
(-12 + 4x + (-3x + x2)) = -16

Combine like terms: 4x + -3x = 1x
(-12 + 1x + x2) = -16

Solving
-12 + 1x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-12 + 16 + 1x + x2 = -16 + 16

Combine like terms: -12 + 16 = 4
4 + 1x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
4 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 1x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + 1x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1x + x2 = 0 + -4
1x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
1x + x2 = -4

The x term is 1x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = -4 + 0.25

Reorder the terms:
0.25 + x + x2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + x + x2 = -3.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.