106x^2+1=18x

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Solution for 106x^2+1=18x equation:


Simplifying
106x2 + 1 = 18x

Reorder the terms:
1 + 106x2 = 18x

Solving
1 + 106x2 = 18x

Solving for variable 'x'.

Reorder the terms:
1 + -18x + 106x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
1 + -18x + 106x2 = 0

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

Divide each side by '106'.
0.009433962264 + -0.1698113208x + x2 = 0

Move the constant term to the right:

Add '-0.009433962264' to each side of the equation.
0.009433962264 + -0.1698113208x + -0.009433962264 + x2 = 0 + -0.009433962264

Reorder the terms:
0.009433962264 + -0.009433962264 + -0.1698113208x + x2 = 0 + -0.009433962264

Combine like terms: 0.009433962264 + -0.009433962264 = 0.000000000000
0.000000000000 + -0.1698113208x + x2 = 0 + -0.009433962264
-0.1698113208x + x2 = 0 + -0.009433962264

Combine like terms: 0 + -0.009433962264 = -0.009433962264
-0.1698113208x + x2 = -0.009433962264

The x term is -0.1698113208x.  Take half its coefficient (-0.0849056604).
Square it (0.007208971168) and add it to both sides.

Add '0.007208971168' to each side of the equation.
-0.1698113208x + 0.007208971168 + x2 = -0.009433962264 + 0.007208971168

Reorder the terms:
0.007208971168 + -0.1698113208x + x2 = -0.009433962264 + 0.007208971168

Combine like terms: -0.009433962264 + 0.007208971168 = -0.002224991096
0.007208971168 + -0.1698113208x + x2 = -0.002224991096

Factor a perfect square on the left side:
(x + -0.0849056604)(x + -0.0849056604) = -0.002224991096

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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