34x^2+1=10x

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Solution for 34x^2+1=10x equation:


Simplifying
34x2 + 1 = 10x

Reorder the terms:
1 + 34x2 = 10x

Solving
1 + 34x2 = 10x

Solving for variable 'x'.

Reorder the terms:
1 + -10x + 34x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -10x + 34x2 = 0

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

Divide each side by '34'.
0.02941176471 + -0.2941176471x + x2 = 0

Move the constant term to the right:

Add '-0.02941176471' to each side of the equation.
0.02941176471 + -0.2941176471x + -0.02941176471 + x2 = 0 + -0.02941176471

Reorder the terms:
0.02941176471 + -0.02941176471 + -0.2941176471x + x2 = 0 + -0.02941176471

Combine like terms: 0.02941176471 + -0.02941176471 = 0.00000000000
0.00000000000 + -0.2941176471x + x2 = 0 + -0.02941176471
-0.2941176471x + x2 = 0 + -0.02941176471

Combine like terms: 0 + -0.02941176471 = -0.02941176471
-0.2941176471x + x2 = -0.02941176471

The x term is -0.2941176471x.  Take half its coefficient (-0.1470588236).
Square it (0.02162629760) and add it to both sides.

Add '0.02162629760' to each side of the equation.
-0.2941176471x + 0.02162629760 + x2 = -0.02941176471 + 0.02162629760

Reorder the terms:
0.02162629760 + -0.2941176471x + x2 = -0.02941176471 + 0.02162629760

Combine like terms: -0.02941176471 + 0.02162629760 = -0.00778546711
0.02162629760 + -0.2941176471x + x2 = -0.00778546711

Factor a perfect square on the left side:
(x + -0.1470588236)(x + -0.1470588236) = -0.00778546711

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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