0.284x^2-5.11x+82=0

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Solution for 0.284x^2-5.11x+82=0 equation: 


Simplifying
0.284x2 + -5.11x + 82 = 0

Reorder the terms:
82 + -5.11x + 0.284x2 = 0

Solving
82 + -5.11x + 0.284x2 = 0

Solving for variable 'x'.

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

Divide each side by '0.284'.
288.7323944 + -17.99295775x + x2 = 0

Move the constant term to the right:

Add '-288.7323944' to each side of the equation.
288.7323944 + -17.99295775x + -288.7323944 + x2 = 0 + -288.7323944

Reorder the terms:
288.7323944 + -288.7323944 + -17.99295775x + x2 = 0 + -288.7323944

Combine like terms: 288.7323944 + -288.7323944 = 0.0000000
0.0000000 + -17.99295775x + x2 = 0 + -288.7323944
-17.99295775x + x2 = 0 + -288.7323944

Combine like terms: 0 + -288.7323944 = -288.7323944
-17.99295775x + x2 = -288.7323944

The x term is -17.99295775x.  Take half its coefficient (-8.996478875).
Square it (80.93663215) and add it to both sides.

Add '80.93663215' to each side of the equation.
-17.99295775x + 80.93663215 + x2 = -288.7323944 + 80.93663215

Reorder the terms:
80.93663215 + -17.99295775x + x2 = -288.7323944 + 80.93663215

Combine like terms: -288.7323944 + 80.93663215 = -207.79576225
80.93663215 + -17.99295775x + x2 = -207.79576225

Factor a perfect square on the left side:
(x + -8.996478875)(x + -8.996478875) = -207.79576225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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