0.214378=0.0539*x^2-0.3162*x+0.69

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Solution for 0.214378=0.0539*x^2-0.3162*x+0.69 equation: 


Simplifying
0.214378 = 0.0539x2 + -0.3162x + 0.69

Reorder the terms:
0.214378 = 0.69 + -0.3162x + 0.0539x2

Solving
0.214378 = 0.69 + -0.3162x + 0.0539x2

Solving for variable 'x'.

Combine like terms: 0.214378 + -0.69 = -0.475622
-0.475622 + 0.3162x + -0.0539x2 = 0.69 + -0.3162x + 0.0539x2 + -0.69 + 0.3162x + -0.0539x2

Reorder the terms:
-0.475622 + 0.3162x + -0.0539x2 = 0.69 + -0.69 + -0.3162x + 0.3162x + 0.0539x2 + -0.0539x2

Combine like terms: 0.69 + -0.69 = 0.00
-0.475622 + 0.3162x + -0.0539x2 = 0.00 + -0.3162x + 0.3162x + 0.0539x2 + -0.0539x2
-0.475622 + 0.3162x + -0.0539x2 = -0.3162x + 0.3162x + 0.0539x2 + -0.0539x2

Combine like terms: -0.3162x + 0.3162x = 0.0000
-0.475622 + 0.3162x + -0.0539x2 = 0.0000 + 0.0539x2 + -0.0539x2
-0.475622 + 0.3162x + -0.0539x2 = 0.0539x2 + -0.0539x2

Combine like terms: 0.0539x2 + -0.0539x2 = 0.0000
-0.475622 + 0.3162x + -0.0539x2 = 0.0000

Begin completing the square.  Divide all terms by
-0.0539 the coefficient of the squared term: 

Divide each side by '-0.0539'.
8.824155844 + -5.866419295x + x2 = 0

Move the constant term to the right:

Add '-8.824155844' to each side of the equation.
8.824155844 + -5.866419295x + -8.824155844 + x2 = 0 + -8.824155844

Reorder the terms:
8.824155844 + -8.824155844 + -5.866419295x + x2 = 0 + -8.824155844

Combine like terms: 8.824155844 + -8.824155844 = 0.000000000
0.000000000 + -5.866419295x + x2 = 0 + -8.824155844
-5.866419295x + x2 = 0 + -8.824155844

Combine like terms: 0 + -8.824155844 = -8.824155844
-5.866419295x + x2 = -8.824155844

The x term is -5.866419295x.  Take half its coefficient (-2.933209648).
Square it (8.603718839) and add it to both sides.

Add '8.603718839' to each side of the equation.
-5.866419295x + 8.603718839 + x2 = -8.824155844 + 8.603718839

Reorder the terms:
8.603718839 + -5.866419295x + x2 = -8.824155844 + 8.603718839

Combine like terms: -8.824155844 + 8.603718839 = -0.220437005
8.603718839 + -5.866419295x + x2 = -0.220437005

Factor a perfect square on the left side:
(x + -2.933209648)(x + -2.933209648) = -0.220437005

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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