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Simplifying -16x2 = 275 + -30x Solving -16x2 = 275 + -30x Solving for variable 'x'. Reorder the terms: -275 + 30x + -16x2 = 275 + -30x + -275 + 30x Reorder the terms: -275 + 30x + -16x2 = 275 + -275 + -30x + 30x Combine like terms: 275 + -275 = 0 -275 + 30x + -16x2 = 0 + -30x + 30x -275 + 30x + -16x2 = -30x + 30x Combine like terms: -30x + 30x = 0 -275 + 30x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 17.1875 + -1.875x + x2 = 0 Move the constant term to the right: Add '-17.1875' to each side of the equation. 17.1875 + -1.875x + -17.1875 + x2 = 0 + -17.1875 Reorder the terms: 17.1875 + -17.1875 + -1.875x + x2 = 0 + -17.1875 Combine like terms: 17.1875 + -17.1875 = 0.0000 0.0000 + -1.875x + x2 = 0 + -17.1875 -1.875x + x2 = 0 + -17.1875 Combine like terms: 0 + -17.1875 = -17.1875 -1.875x + x2 = -17.1875 The x term is -1.875x. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875x + 0.87890625 + x2 = -17.1875 + 0.87890625 Reorder the terms: 0.87890625 + -1.875x + x2 = -17.1875 + 0.87890625 Combine like terms: -17.1875 + 0.87890625 = -16.30859375 0.87890625 + -1.875x + x2 = -16.30859375 Factor a perfect square on the left side: (x + -0.9375)(x + -0.9375) = -16.30859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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