x^2-7x+9=-33

Solution for x^2-7x+9=-33 equation:

Simplifying
x2 + -7x + 9 = -33

Reorder the terms:
9 + -7x + x2 = -33

Solving
9 + -7x + x2 = -33

Solving for variable 'x'.

Reorder the terms:
9 + 33 + -7x + x2 = -33 + 33

Combine like terms: 9 + 33 = 42
42 + -7x + x2 = -33 + 33

Combine like terms: -33 + 33 = 0
42 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-42' to each side of the equation.
42 + -7x + -42 + x2 = 0 + -42

Reorder the terms:
42 + -42 + -7x + x2 = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -7x + x2 = 0 + -42
-7x + x2 = 0 + -42

Combine like terms: 0 + -42 = -42
-7x + x2 = -42

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -42 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -42 + 12.25

Combine like terms: -42 + 12.25 = -29.75
12.25 + -7x + x2 = -29.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.