a^2-8a+34=-9

Solution for a^2-8a+34=-9 equation:

Simplifying
a2 + -8a + 34 = -9

Reorder the terms:
34 + -8a + a2 = -9

Solving
34 + -8a + a2 = -9

Solving for variable 'a'.

Reorder the terms:
34 + 9 + -8a + a2 = -9 + 9

Combine like terms: 34 + 9 = 43
43 + -8a + a2 = -9 + 9

Combine like terms: -9 + 9 = 0
43 + -8a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + -8a + -43 + a2 = 0 + -43

Reorder the terms:
43 + -43 + -8a + a2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -8a + a2 = 0 + -43
-8a + a2 = 0 + -43

Combine like terms: 0 + -43 = -43
-8a + a2 = -43

The a term is -8a.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8a + 16 + a2 = -43 + 16

Reorder the terms:
16 + -8a + a2 = -43 + 16

Combine like terms: -43 + 16 = -27
16 + -8a + a2 = -27

Factor a perfect square on the left side:
(a + -4)(a + -4) = -27

Can't calculate square root of the right side.

The solution to this equation could not be determined.