(a+2)(a-3)=-8

Solution for (a+2)(a-3)=-8 equation:

Simplifying
(a + 2)(a + -3) = -8

Reorder the terms:
(2 + a)(a + -3) = -8

Reorder the terms:
(2 + a)(-3 + a) = -8

Multiply (2 + a) * (-3 + a)
(2(-3 + a) + a(-3 + a)) = -8
((-3 * 2 + a * 2) + a(-3 + a)) = -8
((-6 + 2a) + a(-3 + a)) = -8
(-6 + 2a + (-3 * a + a * a)) = -8
(-6 + 2a + (-3a + a2)) = -8

Combine like terms: 2a + -3a = -1a
(-6 + -1a + a2) = -8

Solving
-6 + -1a + a2 = -8

Solving for variable 'a'.

Reorder the terms:
-6 + 8 + -1a + a2 = -8 + 8

Combine like terms: -6 + 8 = 2
2 + -1a + a2 = -8 + 8

Combine like terms: -8 + 8 = 0
2 + -1a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -1a + -2 + a2 = 0 + -2

Reorder the terms:
2 + -2 + -1a + a2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1a + a2 = 0 + -2
-1a + a2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1a + a2 = -2

The a term is -1a.  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.
-1a + 0.25 + a2 = -2 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -1a + a2 = -1.75

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.