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Simplifying 3x2 + -23x + 78 = 0 Reorder the terms: 78 + -23x + 3x2 = 0 Solving 78 + -23x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 26 + -7.666666667x + x2 = 0 Move the constant term to the right: Add '-26' to each side of the equation. 26 + -7.666666667x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + -7.666666667x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -7.666666667x + x2 = 0 + -26 -7.666666667x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 -7.666666667x + x2 = -26 The x term is -7.666666667x. Take half its coefficient (-3.833333334). Square it (14.69444445) and add it to both sides. Add '14.69444445' to each side of the equation. -7.666666667x + 14.69444445 + x2 = -26 + 14.69444445 Reorder the terms: 14.69444445 + -7.666666667x + x2 = -26 + 14.69444445 Combine like terms: -26 + 14.69444445 = -11.30555555 14.69444445 + -7.666666667x + x2 = -11.30555555 Factor a perfect square on the left side: (x + -3.833333334)(x + -3.833333334) = -11.30555555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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