(x-3)(x+4)=-18

Solution for (x-3)(x+4)=-18 equation:

Simplifying
(x + -3)(x + 4) = -18

Reorder the terms:
(-3 + x)(x + 4) = -18

Reorder the terms:
(-3 + x)(4 + x) = -18

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = -18
((4 * -3 + x * -3) + x(4 + x)) = -18
((-12 + -3x) + x(4 + x)) = -18
(-12 + -3x + (4 * x + x * x)) = -18
(-12 + -3x + (4x + x2)) = -18

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = -18

Solving
-12 + 1x + x2 = -18

Solving for variable 'x'.

Reorder the terms:
-12 + 18 + 1x + x2 = -18 + 18

Combine like terms: -12 + 18 = 6
6 + 1x + x2 = -18 + 18

Combine like terms: -18 + 18 = 0
6 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 1x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 1x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1x + x2 = 0 + -6
1x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
1x + x2 = -6

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 = -6 + 0.25

Reorder the terms:
0.25 + x + x2 = -6 + 0.25

Combine like terms: -6 + 0.25 = -5.75
0.25 + x + x2 = -5.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -5.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.