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Simplifying (30y + 4) + (8y2 + -15y + 4) = 0 Reorder the terms: (4 + 30y) + (8y2 + -15y + 4) = 0 Remove parenthesis around (4 + 30y) 4 + 30y + (8y2 + -15y + 4) = 0 Reorder the terms: 4 + 30y + (4 + -15y + 8y2) = 0 Remove parenthesis around (4 + -15y + 8y2) 4 + 30y + 4 + -15y + 8y2 = 0 Reorder the terms: 4 + 4 + 30y + -15y + 8y2 = 0 Combine like terms: 4 + 4 = 8 8 + 30y + -15y + 8y2 = 0 Combine like terms: 30y + -15y = 15y 8 + 15y + 8y2 = 0 Solving 8 + 15y + 8y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1 + 1.875y + y2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.875y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + 1.875y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.875y + y2 = 0 + -1 1.875y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.875y + y2 = -1 The y term is 1.875y. 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. 1.875y + 0.87890625 + y2 = -1 + 0.87890625 Reorder the terms: 0.87890625 + 1.875y + y2 = -1 + 0.87890625 Combine like terms: -1 + 0.87890625 = -0.12109375 0.87890625 + 1.875y + y2 = -0.12109375 Factor a perfect square on the left side: (y + 0.9375)(y + 0.9375) = -0.12109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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