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Simplifying 15x2 + -28x + 15 = 0 Reorder the terms: 15 + -28x + 15x2 = 0 Solving 15 + -28x + 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 + -1.866666667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.866666667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.866666667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.866666667x + x2 = 0 + -1 -1.866666667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.866666667x + x2 = -1 The x term is -1.866666667x. Take half its coefficient (-0.9333333335). Square it (0.8711111114) and add it to both sides. Add '0.8711111114' to each side of the equation. -1.866666667x + 0.8711111114 + x2 = -1 + 0.8711111114 Reorder the terms: 0.8711111114 + -1.866666667x + x2 = -1 + 0.8711111114 Combine like terms: -1 + 0.8711111114 = -0.1288888886 0.8711111114 + -1.866666667x + x2 = -0.1288888886 Factor a perfect square on the left side: (x + -0.9333333335)(x + -0.9333333335) = -0.1288888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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