7x^2=4x-1

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Solution for 7x^2=4x-1 equation:


Simplifying
7x2 = 4x + -1

Reorder the terms:
7x2 = -1 + 4x

Solving
7x2 = -1 + 4x

Solving for variable 'x'.

Reorder the terms:
1 + -4x + 7x2 = -1 + 4x + 1 + -4x

Reorder the terms:
1 + -4x + 7x2 = -1 + 1 + 4x + -4x

Combine like terms: -1 + 1 = 0
1 + -4x + 7x2 = 0 + 4x + -4x
1 + -4x + 7x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -4x + 7x2 = 0

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

Divide each side by '7'.
0.1428571429 + -0.5714285714x + x2 = 0

Move the constant term to the right:

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.5714285714x + -0.1428571429 + x2 = 0 + -0.1428571429

Reorder the terms:
0.1428571429 + -0.1428571429 + -0.5714285714x + x2 = 0 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + -0.5714285714x + x2 = 0 + -0.1428571429
-0.5714285714x + x2 = 0 + -0.1428571429

Combine like terms: 0 + -0.1428571429 = -0.1428571429
-0.5714285714x + x2 = -0.1428571429

The x term is -0.5714285714x.  Take half its coefficient (-0.2857142857).
Square it (0.08163265305) and add it to both sides.

Add '0.08163265305' to each side of the equation.
-0.5714285714x + 0.08163265305 + x2 = -0.1428571429 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714x + x2 = -0.1428571429 + 0.08163265305

Combine like terms: -0.1428571429 + 0.08163265305 = -0.06122448985
0.08163265305 + -0.5714285714x + x2 = -0.06122448985

Factor a perfect square on the left side:
(x + -0.2857142857)(x + -0.2857142857) = -0.06122448985

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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