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Simplifying 15x2 + -19x + 56 = 0 Reorder the terms: 56 + -19x + 15x2 = 0 Solving 56 + -19x + 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'. 3.733333333 + -1.266666667x + x2 = 0 Move the constant term to the right: Add '-3.733333333' to each side of the equation. 3.733333333 + -1.266666667x + -3.733333333 + x2 = 0 + -3.733333333 Reorder the terms: 3.733333333 + -3.733333333 + -1.266666667x + x2 = 0 + -3.733333333 Combine like terms: 3.733333333 + -3.733333333 = 0.000000000 0.000000000 + -1.266666667x + x2 = 0 + -3.733333333 -1.266666667x + x2 = 0 + -3.733333333 Combine like terms: 0 + -3.733333333 = -3.733333333 -1.266666667x + x2 = -3.733333333 The x term is -1.266666667x. Take half its coefficient (-0.6333333335). Square it (0.4011111113) and add it to both sides. Add '0.4011111113' to each side of the equation. -1.266666667x + 0.4011111113 + x2 = -3.733333333 + 0.4011111113 Reorder the terms: 0.4011111113 + -1.266666667x + x2 = -3.733333333 + 0.4011111113 Combine like terms: -3.733333333 + 0.4011111113 = -3.3322222217 0.4011111113 + -1.266666667x + x2 = -3.3322222217 Factor a perfect square on the left side: (x + -0.6333333335)(x + -0.6333333335) = -3.3322222217 Can't calculate square root of the right side. The solution to this equation could not be determined.
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