7x^2=4x-13

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Solution for 7x^2=4x-13 equation:


Simplifying
7x2 = 4x + -13

Reorder the terms:
7x2 = -13 + 4x

Solving
7x2 = -13 + 4x

Solving for variable 'x'.

Reorder the terms:
13 + -4x + 7x2 = -13 + 4x + 13 + -4x

Reorder the terms:
13 + -4x + 7x2 = -13 + 13 + 4x + -4x

Combine like terms: -13 + 13 = 0
13 + -4x + 7x2 = 0 + 4x + -4x
13 + -4x + 7x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -4x + 7x2 = 0

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

Divide each side by '7'.
1.857142857 + -0.5714285714x + x2 = 0

Move the constant term to the right:

Add '-1.857142857' to each side of the equation.
1.857142857 + -0.5714285714x + -1.857142857 + x2 = 0 + -1.857142857

Reorder the terms:
1.857142857 + -1.857142857 + -0.5714285714x + x2 = 0 + -1.857142857

Combine like terms: 1.857142857 + -1.857142857 = 0.000000000
0.000000000 + -0.5714285714x + x2 = 0 + -1.857142857
-0.5714285714x + x2 = 0 + -1.857142857

Combine like terms: 0 + -1.857142857 = -1.857142857
-0.5714285714x + x2 = -1.857142857

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 = -1.857142857 + 0.08163265305

Reorder the terms:
0.08163265305 + -0.5714285714x + x2 = -1.857142857 + 0.08163265305

Combine like terms: -1.857142857 + 0.08163265305 = -1.77551020395
0.08163265305 + -0.5714285714x + x2 = -1.77551020395

Factor a perfect square on the left side:
(x + -0.2857142857)(x + -0.2857142857) = -1.77551020395

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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