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Simplifying 4x * 4x + -17x + 15 = -5x + 10 Reorder the terms for easier multiplication: 4 * 4x * x + -17x + 15 = -5x + 10 Multiply 4 * 4 16x * x + -17x + 15 = -5x + 10 Multiply x * x 16x2 + -17x + 15 = -5x + 10 Reorder the terms: 15 + -17x + 16x2 = -5x + 10 Reorder the terms: 15 + -17x + 16x2 = 10 + -5x Solving 15 + -17x + 16x2 = 10 + -5x Solving for variable 'x'. Reorder the terms: 15 + -10 + -17x + 5x + 16x2 = 10 + -5x + -10 + 5x Combine like terms: 15 + -10 = 5 5 + -17x + 5x + 16x2 = 10 + -5x + -10 + 5x Combine like terms: -17x + 5x = -12x 5 + -12x + 16x2 = 10 + -5x + -10 + 5x Reorder the terms: 5 + -12x + 16x2 = 10 + -10 + -5x + 5x Combine like terms: 10 + -10 = 0 5 + -12x + 16x2 = 0 + -5x + 5x 5 + -12x + 16x2 = -5x + 5x Combine like terms: -5x + 5x = 0 5 + -12x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.3125 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + -0.75x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + -0.75x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + -0.75x + x2 = 0 + -0.3125 -0.75x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 -0.75x + x2 = -0.3125 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -0.3125 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.3125 + 0.140625 Combine like terms: -0.3125 + 0.140625 = -0.171875 0.140625 + -0.75x + x2 = -0.171875 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.171875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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