.36=.0021x^2-.286x+16.28

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Solution for .36=.0021x^2-.286x+16.28 equation: 


Simplifying
0.36 = 0.0021x2 + -0.286x + 16.28

Reorder the terms:
0.36 = 16.28 + -0.286x + 0.0021x2

Solving
0.36 = 16.28 + -0.286x + 0.0021x2

Solving for variable 'x'.

Combine like terms: 0.36 + -16.28 = -15.92
-15.92 + 0.286x + -0.0021x2 = 16.28 + -0.286x + 0.0021x2 + -16.28 + 0.286x + -0.0021x2

Reorder the terms:
-15.92 + 0.286x + -0.0021x2 = 16.28 + -16.28 + -0.286x + 0.286x + 0.0021x2 + -0.0021x2

Combine like terms: 16.28 + -16.28 = 0.00
-15.92 + 0.286x + -0.0021x2 = 0.00 + -0.286x + 0.286x + 0.0021x2 + -0.0021x2
-15.92 + 0.286x + -0.0021x2 = -0.286x + 0.286x + 0.0021x2 + -0.0021x2

Combine like terms: -0.286x + 0.286x = 0.000
-15.92 + 0.286x + -0.0021x2 = 0.000 + 0.0021x2 + -0.0021x2
-15.92 + 0.286x + -0.0021x2 = 0.0021x2 + -0.0021x2

Combine like terms: 0.0021x2 + -0.0021x2 = 0.0000
-15.92 + 0.286x + -0.0021x2 = 0.0000

Begin completing the square.  Divide all terms by
-0.0021 the coefficient of the squared term: 

Divide each side by '-0.0021'.
7580.952381 + -136.1904762x + x2 = 0

Move the constant term to the right:

Add '-7580.952381' to each side of the equation.
7580.952381 + -136.1904762x + -7580.952381 + x2 = 0 + -7580.952381

Reorder the terms:
7580.952381 + -7580.952381 + -136.1904762x + x2 = 0 + -7580.952381

Combine like terms: 7580.952381 + -7580.952381 = 0.000000
0.000000 + -136.1904762x + x2 = 0 + -7580.952381
-136.1904762x + x2 = 0 + -7580.952381

Combine like terms: 0 + -7580.952381 = -7580.952381
-136.1904762x + x2 = -7580.952381

The x term is -136.1904762x.  Take half its coefficient (-68.0952381).
Square it (4636.961452) and add it to both sides.

Add '4636.961452' to each side of the equation.
-136.1904762x + 4636.961452 + x2 = -7580.952381 + 4636.961452

Reorder the terms:
4636.961452 + -136.1904762x + x2 = -7580.952381 + 4636.961452

Combine like terms: -7580.952381 + 4636.961452 = -2943.990929
4636.961452 + -136.1904762x + x2 = -2943.990929

Factor a perfect square on the left side:
(x + -68.0952381)(x + -68.0952381) = -2943.990929

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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