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Simplifying 17.5 = 32x + -16x2 Solving 17.5 = 32x + -16x2 Solving for variable 'x'. Reorder the terms: 17.5 + -32x + 16x2 = 32x + -32x + -16x2 + 16x2 Combine like terms: 32x + -32x = 0 17.5 + -32x + 16x2 = 0 + -16x2 + 16x2 17.5 + -32x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 17.5 + -32x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.09375 + -2x + x2 = 0 Move the constant term to the right: Add '-1.09375' to each side of the equation. 1.09375 + -2x + -1.09375 + x2 = 0 + -1.09375 Reorder the terms: 1.09375 + -1.09375 + -2x + x2 = 0 + -1.09375 Combine like terms: 1.09375 + -1.09375 = 0.00000 0.00000 + -2x + x2 = 0 + -1.09375 -2x + x2 = 0 + -1.09375 Combine like terms: 0 + -1.09375 = -1.09375 -2x + x2 = -1.09375 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -1.09375 + 1 Reorder the terms: 1 + -2x + x2 = -1.09375 + 1 Combine like terms: -1.09375 + 1 = -0.09375 1 + -2x + x2 = -0.09375 Factor a perfect square on the left side: (x + -1)(x + -1) = -0.09375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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