(x-2)(x+3)=-34

Solution for (x-2)(x+3)=-34 equation:

Simplifying
(x + -2)(x + 3) = -34

Reorder the terms:
(-2 + x)(x + 3) = -34

Reorder the terms:
(-2 + x)(3 + x) = -34

Multiply (-2 + x) * (3 + x)
(-2(3 + x) + x(3 + x)) = -34
((3 * -2 + x * -2) + x(3 + x)) = -34
((-6 + -2x) + x(3 + x)) = -34
(-6 + -2x + (3 * x + x * x)) = -34
(-6 + -2x + (3x + x2)) = -34

Combine like terms: -2x + 3x = 1x
(-6 + 1x + x2) = -34

Solving
-6 + 1x + x2 = -34

Solving for variable 'x'.

Reorder the terms:
-6 + 34 + 1x + x2 = -34 + 34

Combine like terms: -6 + 34 = 28
28 + 1x + x2 = -34 + 34

Combine like terms: -34 + 34 = 0
28 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-28' to each side of the equation.
28 + 1x + -28 + x2 = 0 + -28

Reorder the terms:
28 + -28 + 1x + x2 = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 1x + x2 = 0 + -28
1x + x2 = 0 + -28

Combine like terms: 0 + -28 = -28
1x + x2 = -28

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 = -28 + 0.25

Reorder the terms:
0.25 + x + x2 = -28 + 0.25

Combine like terms: -28 + 0.25 = -27.75
0.25 + x + x2 = -27.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.