1+17*x^2-7*x=0

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Solution for 1+17*x^2-7*x=0 equation:


Simplifying
1 + 17x2 + -7x = 0

Reorder the terms:
1 + -7x + 17x2 = 0

Solving
1 + -7x + 17x2 = 0

Solving for variable 'x'.

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

Divide each side by '17'.
0.05882352941 + -0.4117647059x + x2 = 0

Move the constant term to the right:

Add '-0.05882352941' to each side of the equation.
0.05882352941 + -0.4117647059x + -0.05882352941 + x2 = 0 + -0.05882352941

Reorder the terms:
0.05882352941 + -0.05882352941 + -0.4117647059x + x2 = 0 + -0.05882352941

Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000
0.00000000000 + -0.4117647059x + x2 = 0 + -0.05882352941
-0.4117647059x + x2 = 0 + -0.05882352941

Combine like terms: 0 + -0.05882352941 = -0.05882352941
-0.4117647059x + x2 = -0.05882352941

The x term is -0.4117647059x.  Take half its coefficient (-0.205882353).
Square it (0.04238754328) and add it to both sides.

Add '0.04238754328' to each side of the equation.
-0.4117647059x + 0.04238754328 + x2 = -0.05882352941 + 0.04238754328

Reorder the terms:
0.04238754328 + -0.4117647059x + x2 = -0.05882352941 + 0.04238754328

Combine like terms: -0.05882352941 + 0.04238754328 = -0.01643598613
0.04238754328 + -0.4117647059x + x2 = -0.01643598613

Factor a perfect square on the left side:
(x + -0.205882353)(x + -0.205882353) = -0.01643598613

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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