65=-17.551x^2+63.181x+5.267

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Solution for 65=-17.551x^2+63.181x+5.267 equation: 


Simplifying
65 = -17.551x2 + 63.181x + 5.267

Reorder the terms:
65 = 5.267 + 63.181x + -17.551x2

Solving
65 = 5.267 + 63.181x + -17.551x2

Solving for variable 'x'.

Combine like terms: 65 + -5.267 = 59.733
59.733 + -63.181x + 17.551x2 = 5.267 + 63.181x + -17.551x2 + -5.267 + -63.181x + 17.551x2

Reorder the terms:
59.733 + -63.181x + 17.551x2 = 5.267 + -5.267 + 63.181x + -63.181x + -17.551x2 + 17.551x2

Combine like terms: 5.267 + -5.267 = 0.000
59.733 + -63.181x + 17.551x2 = 0.000 + 63.181x + -63.181x + -17.551x2 + 17.551x2
59.733 + -63.181x + 17.551x2 = 63.181x + -63.181x + -17.551x2 + 17.551x2

Combine like terms: 63.181x + -63.181x = 0.000
59.733 + -63.181x + 17.551x2 = 0.000 + -17.551x2 + 17.551x2
59.733 + -63.181x + 17.551x2 = -17.551x2 + 17.551x2

Combine like terms: -17.551x2 + 17.551x2 = 0.000
59.733 + -63.181x + 17.551x2 = 0.000

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

Divide each side by '17.551'.
3.403395818 + -3.59985186x + x2 = 0

Move the constant term to the right:

Add '-3.403395818' to each side of the equation.
3.403395818 + -3.59985186x + -3.403395818 + x2 = 0 + -3.403395818

Reorder the terms:
3.403395818 + -3.403395818 + -3.59985186x + x2 = 0 + -3.403395818

Combine like terms: 3.403395818 + -3.403395818 = 0.000000000
0.000000000 + -3.59985186x + x2 = 0 + -3.403395818
-3.59985186x + x2 = 0 + -3.403395818

Combine like terms: 0 + -3.403395818 = -3.403395818
-3.59985186x + x2 = -3.403395818

The x term is -3.59985186x.  Take half its coefficient (-1.79992593).
Square it (3.239733353) and add it to both sides.

Add '3.239733353' to each side of the equation.
-3.59985186x + 3.239733353 + x2 = -3.403395818 + 3.239733353

Reorder the terms:
3.239733353 + -3.59985186x + x2 = -3.403395818 + 3.239733353

Combine like terms: -3.403395818 + 3.239733353 = -0.163662465
3.239733353 + -3.59985186x + x2 = -0.163662465

Factor a perfect square on the left side:
(x + -1.79992593)(x + -1.79992593) = -0.163662465

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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