85x^2+1=12x

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Solution for 85x^2+1=12x equation:


Simplifying
85x2 + 1 = 12x

Reorder the terms:
1 + 85x2 = 12x

Solving
1 + 85x2 = 12x

Solving for variable 'x'.

Reorder the terms:
1 + -12x + 85x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -12x + 85x2 = 0

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

Divide each side by '85'.
0.01176470588 + -0.1411764706x + x2 = 0

Move the constant term to the right:

Add '-0.01176470588' to each side of the equation.
0.01176470588 + -0.1411764706x + -0.01176470588 + x2 = 0 + -0.01176470588

Reorder the terms:
0.01176470588 + -0.01176470588 + -0.1411764706x + x2 = 0 + -0.01176470588

Combine like terms: 0.01176470588 + -0.01176470588 = 0.00000000000
0.00000000000 + -0.1411764706x + x2 = 0 + -0.01176470588
-0.1411764706x + x2 = 0 + -0.01176470588

Combine like terms: 0 + -0.01176470588 = -0.01176470588
-0.1411764706x + x2 = -0.01176470588

The x term is -0.1411764706x.  Take half its coefficient (-0.0705882353).
Square it (0.004982698963) and add it to both sides.

Add '0.004982698963' to each side of the equation.
-0.1411764706x + 0.004982698963 + x2 = -0.01176470588 + 0.004982698963

Reorder the terms:
0.004982698963 + -0.1411764706x + x2 = -0.01176470588 + 0.004982698963

Combine like terms: -0.01176470588 + 0.004982698963 = -0.006782006917
0.004982698963 + -0.1411764706x + x2 = -0.006782006917

Factor a perfect square on the left side:
(x + -0.0705882353)(x + -0.0705882353) = -0.006782006917

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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