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Simplifying 15x2 + -16x + 34 = 0 Reorder the terms: 34 + -16x + 15x2 = 0 Solving 34 + -16x + 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'. 2.266666667 + -1.066666667x + x2 = 0 Move the constant term to the right: Add '-2.266666667' to each side of the equation. 2.266666667 + -1.066666667x + -2.266666667 + x2 = 0 + -2.266666667 Reorder the terms: 2.266666667 + -2.266666667 + -1.066666667x + x2 = 0 + -2.266666667 Combine like terms: 2.266666667 + -2.266666667 = 0.000000000 0.000000000 + -1.066666667x + x2 = 0 + -2.266666667 -1.066666667x + x2 = 0 + -2.266666667 Combine like terms: 0 + -2.266666667 = -2.266666667 -1.066666667x + x2 = -2.266666667 The x term is -1.066666667x. Take half its coefficient (-0.5333333335). Square it (0.2844444446) and add it to both sides. Add '0.2844444446' to each side of the equation. -1.066666667x + 0.2844444446 + x2 = -2.266666667 + 0.2844444446 Reorder the terms: 0.2844444446 + -1.066666667x + x2 = -2.266666667 + 0.2844444446 Combine like terms: -2.266666667 + 0.2844444446 = -1.9822222224 0.2844444446 + -1.066666667x + x2 = -1.9822222224 Factor a perfect square on the left side: (x + -0.5333333335)(x + -0.5333333335) = -1.9822222224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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