29x^2+1=4x

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Solution for 29x^2+1=4x equation:


Simplifying
29x2 + 1 = 4x

Reorder the terms:
1 + 29x2 = 4x

Solving
1 + 29x2 = 4x

Solving for variable 'x'.

Reorder the terms:
1 + -4x + 29x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -4x + 29x2 = 0

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

Divide each side by '29'.
0.03448275862 + -0.1379310345x + x2 = 0

Move the constant term to the right:

Add '-0.03448275862' to each side of the equation.
0.03448275862 + -0.1379310345x + -0.03448275862 + x2 = 0 + -0.03448275862

Reorder the terms:
0.03448275862 + -0.03448275862 + -0.1379310345x + x2 = 0 + -0.03448275862

Combine like terms: 0.03448275862 + -0.03448275862 = 0.00000000000
0.00000000000 + -0.1379310345x + x2 = 0 + -0.03448275862
-0.1379310345x + x2 = 0 + -0.03448275862

Combine like terms: 0 + -0.03448275862 = -0.03448275862
-0.1379310345x + x2 = -0.03448275862

The x term is -0.1379310345x.  Take half its coefficient (-0.06896551725).
Square it (0.004756242570) and add it to both sides.

Add '0.004756242570' to each side of the equation.
-0.1379310345x + 0.004756242570 + x2 = -0.03448275862 + 0.004756242570

Reorder the terms:
0.004756242570 + -0.1379310345x + x2 = -0.03448275862 + 0.004756242570

Combine like terms: -0.03448275862 + 0.004756242570 = -0.02972651605
0.004756242570 + -0.1379310345x + x2 = -0.02972651605

Factor a perfect square on the left side:
(x + -0.06896551725)(x + -0.06896551725) = -0.02972651605

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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