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Simplifying 15x2 + -23x + 16 = 0 Reorder the terms: 16 + -23x + 15x2 = 0 Solving 16 + -23x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 1.066666667 + -1.533333333x + x2 = 0 Move the constant term to the right: Add '-1.066666667' to each side of the equation. 1.066666667 + -1.533333333x + -1.066666667 + x2 = 0 + -1.066666667 Reorder the terms: 1.066666667 + -1.066666667 + -1.533333333x + x2 = 0 + -1.066666667 Combine like terms: 1.066666667 + -1.066666667 = 0.000000000 0.000000000 + -1.533333333x + x2 = 0 + -1.066666667 -1.533333333x + x2 = 0 + -1.066666667 Combine like terms: 0 + -1.066666667 = -1.066666667 -1.533333333x + x2 = -1.066666667 The x term is -1.533333333x. Take half its coefficient (-0.7666666665). Square it (0.5877777775) and add it to both sides. Add '0.5877777775' to each side of the equation. -1.533333333x + 0.5877777775 + x2 = -1.066666667 + 0.5877777775 Reorder the terms: 0.5877777775 + -1.533333333x + x2 = -1.066666667 + 0.5877777775 Combine like terms: -1.066666667 + 0.5877777775 = -0.4788888895 0.5877777775 + -1.533333333x + x2 = -0.4788888895 Factor a perfect square on the left side: (x + -0.7666666665)(x + -0.7666666665) = -0.4788888895 Can't calculate square root of the right side. The solution to this equation could not be determined.
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