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Simplifying 2x2 + 8x + 15 = x Reorder the terms: 15 + 8x + 2x2 = x Solving 15 + 8x + 2x2 = x Solving for variable 'x'. Reorder the terms: 15 + 8x + -1x + 2x2 = x + -1x Combine like terms: 8x + -1x = 7x 15 + 7x + 2x2 = x + -1x Combine like terms: x + -1x = 0 15 + 7x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7.5 + 3.5x + x2 = 0 Move the constant term to the right: Add '-7.5' to each side of the equation. 7.5 + 3.5x + -7.5 + x2 = 0 + -7.5 Reorder the terms: 7.5 + -7.5 + 3.5x + x2 = 0 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + 3.5x + x2 = 0 + -7.5 3.5x + x2 = 0 + -7.5 Combine like terms: 0 + -7.5 = -7.5 3.5x + x2 = -7.5 The x term is 3.5x. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5x + 3.0625 + x2 = -7.5 + 3.0625 Reorder the terms: 3.0625 + 3.5x + x2 = -7.5 + 3.0625 Combine like terms: -7.5 + 3.0625 = -4.4375 3.0625 + 3.5x + x2 = -4.4375 Factor a perfect square on the left side: (x + 1.75)(x + 1.75) = -4.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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