a^2-6a=-33

Solution for a^2-6a=-33 equation:

Simplifying
a2 + -6a = -33

Reorder the terms:
-6a + a2 = -33

Solving
-6a + a2 = -33

Solving for variable 'a'.

Reorder the terms:
33 + -6a + a2 = -33 + 33

Combine like terms: -33 + 33 = 0
33 + -6a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -6a + -33 + a2 = 0 + -33

Reorder the terms:
33 + -33 + -6a + a2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -6a + a2 = 0 + -33
-6a + a2 = 0 + -33

Combine like terms: 0 + -33 = -33
-6a + a2 = -33

The a term is -6a.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6a + 9 + a2 = -33 + 9

Reorder the terms:
9 + -6a + a2 = -33 + 9

Combine like terms: -33 + 9 = -24
9 + -6a + a2 = -24

Factor a perfect square on the left side:
(a + -3)(a + -3) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.