26x^2-80x+394=0

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Solution for 26x^2-80x+394=0 equation:


Simplifying
26x2 + -80x + 394 = 0

Reorder the terms:
394 + -80x + 26x2 = 0

Solving
394 + -80x + 26x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(197 + -40x + 13x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(197 + -40x + 13x2)' equal to zero and attempt to solve: Simplifying 197 + -40x + 13x2 = 0 Solving 197 + -40x + 13x2 = 0 Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 15.15384615 + -3.076923077x + x2 = 0 Move the constant term to the right: Add '-15.15384615' to each side of the equation. 15.15384615 + -3.076923077x + -15.15384615 + x2 = 0 + -15.15384615 Reorder the terms: 15.15384615 + -15.15384615 + -3.076923077x + x2 = 0 + -15.15384615 Combine like terms: 15.15384615 + -15.15384615 = 0.00000000 0.00000000 + -3.076923077x + x2 = 0 + -15.15384615 -3.076923077x + x2 = 0 + -15.15384615 Combine like terms: 0 + -15.15384615 = -15.15384615 -3.076923077x + x2 = -15.15384615 The x term is -3.076923077x. Take half its coefficient (-1.538461539). Square it (2.366863907) and add it to both sides. Add '2.366863907' to each side of the equation. -3.076923077x + 2.366863907 + x2 = -15.15384615 + 2.366863907 Reorder the terms: 2.366863907 + -3.076923077x + x2 = -15.15384615 + 2.366863907 Combine like terms: -15.15384615 + 2.366863907 = -12.786982243 2.366863907 + -3.076923077x + x2 = -12.786982243 Factor a perfect square on the left side: (x + -1.538461539)(x + -1.538461539) = -12.786982243 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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