13x^2=4x-17

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Solution for 13x^2=4x-17 equation:


Simplifying
13x2 = 4x + -17

Reorder the terms:
13x2 = -17 + 4x

Solving
13x2 = -17 + 4x

Solving for variable 'x'.

Reorder the terms:
17 + -4x + 13x2 = -17 + 4x + 17 + -4x

Reorder the terms:
17 + -4x + 13x2 = -17 + 17 + 4x + -4x

Combine like terms: -17 + 17 = 0
17 + -4x + 13x2 = 0 + 4x + -4x
17 + -4x + 13x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -4x + 13x2 = 0

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

Divide each side by '13'.
1.307692308 + -0.3076923077x + x2 = 0

Move the constant term to the right:

Add '-1.307692308' to each side of the equation.
1.307692308 + -0.3076923077x + -1.307692308 + x2 = 0 + -1.307692308

Reorder the terms:
1.307692308 + -1.307692308 + -0.3076923077x + x2 = 0 + -1.307692308

Combine like terms: 1.307692308 + -1.307692308 = 0.000000000
0.000000000 + -0.3076923077x + x2 = 0 + -1.307692308
-0.3076923077x + x2 = 0 + -1.307692308

Combine like terms: 0 + -1.307692308 = -1.307692308
-0.3076923077x + x2 = -1.307692308

The x term is -0.3076923077x.  Take half its coefficient (-0.1538461539).
Square it (0.02366863907) and add it to both sides.

Add '0.02366863907' to each side of the equation.
-0.3076923077x + 0.02366863907 + x2 = -1.307692308 + 0.02366863907

Reorder the terms:
0.02366863907 + -0.3076923077x + x2 = -1.307692308 + 0.02366863907

Combine like terms: -1.307692308 + 0.02366863907 = -1.28402366893
0.02366863907 + -0.3076923077x + x2 = -1.28402366893

Factor a perfect square on the left side:
(x + -0.1538461539)(x + -0.1538461539) = -1.28402366893

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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