2x^2+36=17x-30

Solution for 2x^2+36=17x-30 equation:

Simplifying
2x2 + 36 = 17x + -30

Reorder the terms:
36 + 2x2 = 17x + -30

Reorder the terms:
36 + 2x2 = -30 + 17x

Solving
36 + 2x2 = -30 + 17x

Solving for variable 'x'.

Reorder the terms:
36 + 30 + -17x + 2x2 = -30 + 17x + 30 + -17x

Combine like terms: 36 + 30 = 66
66 + -17x + 2x2 = -30 + 17x + 30 + -17x

Reorder the terms:
66 + -17x + 2x2 = -30 + 30 + 17x + -17x

Combine like terms: -30 + 30 = 0
66 + -17x + 2x2 = 0 + 17x + -17x
66 + -17x + 2x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
66 + -17x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
33 + -8.5x + x2 = 0

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -8.5x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + -8.5x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -8.5x + x2 = 0 + -33
-8.5x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
-8.5x + x2 = -33

The x term is -8.5x.  Take half its coefficient (-4.25).
Square it (18.0625) and add it to both sides.

Add '18.0625' to each side of the equation.
-8.5x + 18.0625 + x2 = -33 + 18.0625

Reorder the terms:
18.0625 + -8.5x + x2 = -33 + 18.0625

Combine like terms: -33 + 18.0625 = -14.9375
18.0625 + -8.5x + x2 = -14.9375

Factor a perfect square on the left side:
(x + -4.25)(x + -4.25) = -14.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.