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Simplifying 16x2 + 30x + 105 = 0 Reorder the terms: 105 + 30x + 16x2 = 0 Solving 105 + 30x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 6.5625 + 1.875x + x2 = 0 Move the constant term to the right: Add '-6.5625' to each side of the equation. 6.5625 + 1.875x + -6.5625 + x2 = 0 + -6.5625 Reorder the terms: 6.5625 + -6.5625 + 1.875x + x2 = 0 + -6.5625 Combine like terms: 6.5625 + -6.5625 = 0.0000 0.0000 + 1.875x + x2 = 0 + -6.5625 1.875x + x2 = 0 + -6.5625 Combine like terms: 0 + -6.5625 = -6.5625 1.875x + x2 = -6.5625 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 = -6.5625 + 0.87890625 Reorder the terms: 0.87890625 + 1.875x + x2 = -6.5625 + 0.87890625 Combine like terms: -6.5625 + 0.87890625 = -5.68359375 0.87890625 + 1.875x + x2 = -5.68359375 Factor a perfect square on the left side: (x + 0.9375)(x + 0.9375) = -5.68359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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