6x-1=29x^2+x

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Solution for 6x-1=29x^2+x equation:


Simplifying
6x + -1 = 29x2 + x

Reorder the terms:
-1 + 6x = 29x2 + x

Reorder the terms:
-1 + 6x = x + 29x2

Solving
-1 + 6x = x + 29x2

Solving for variable 'x'.

Combine like terms: 6x + -1x = 5x
-1 + 5x + -29x2 = x + 29x2 + -1x + -29x2

Reorder the terms:
-1 + 5x + -29x2 = x + -1x + 29x2 + -29x2

Combine like terms: x + -1x = 0
-1 + 5x + -29x2 = 0 + 29x2 + -29x2
-1 + 5x + -29x2 = 29x2 + -29x2

Combine like terms: 29x2 + -29x2 = 0
-1 + 5x + -29x2 = 0

Begin completing the square.  Divide all terms by
-29 the coefficient of the squared term: 

Divide each side by '-29'.
0.03448275862 + -0.1724137931x + x2 = 0

Move the constant term to the right:

Add '-0.03448275862' to each side of the equation.
0.03448275862 + -0.1724137931x + -0.03448275862 + x2 = 0 + -0.03448275862

Reorder the terms:
0.03448275862 + -0.03448275862 + -0.1724137931x + x2 = 0 + -0.03448275862

Combine like terms: 0.03448275862 + -0.03448275862 = 0.00000000000
0.00000000000 + -0.1724137931x + x2 = 0 + -0.03448275862
-0.1724137931x + x2 = 0 + -0.03448275862

Combine like terms: 0 + -0.03448275862 = -0.03448275862
-0.1724137931x + x2 = -0.03448275862

The x term is -0.1724137931x.  Take half its coefficient (-0.08620689655).
Square it (0.007431629013) and add it to both sides.

Add '0.007431629013' to each side of the equation.
-0.1724137931x + 0.007431629013 + x2 = -0.03448275862 + 0.007431629013

Reorder the terms:
0.007431629013 + -0.1724137931x + x2 = -0.03448275862 + 0.007431629013

Combine like terms: -0.03448275862 + 0.007431629013 = -0.027051129607
0.007431629013 + -0.1724137931x + x2 = -0.027051129607

Factor a perfect square on the left side:
(x + -0.08620689655)(x + -0.08620689655) = -0.027051129607

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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