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Simplifying y2 + 8y + 16 + -25p2 = 0 Reorder the terms: 16 + -25p2 + 8y + y2 = 0 Solving 16 + -25p2 + 8y + y2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -25p2 + 8y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + -25p2 + 8y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -25p2 + 8y + y2 = 0 + -16 -25p2 + 8y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 -25p2 + 8y + y2 = -16 Add '-8y' to each side of the equation. -25p2 + 8y + -8y + y2 = -16 + -8y Combine like terms: 8y + -8y = 0 -25p2 + 0 + y2 = -16 + -8y -25p2 + y2 = -16 + -8y Add '-1y2' to each side of the equation. -25p2 + y2 + -1y2 = -16 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 -25p2 + 0 = -16 + -8y + -1y2 -25p2 = -16 + -8y + -1y2 Divide each side by '-25'. p2 = 0.64 + 0.32y + 0.04y2 Simplifying p2 = 0.64 + 0.32y + 0.04y2 Reorder the terms: -0.64 + p2 + -0.32y + -0.04y2 = 0.64 + 0.32y + 0.04y2 + -0.64 + -0.32y + -0.04y2 Reorder the terms: -0.64 + p2 + -0.32y + -0.04y2 = 0.64 + -0.64 + 0.32y + -0.32y + 0.04y2 + -0.04y2 Combine like terms: 0.64 + -0.64 = 0.00 -0.64 + p2 + -0.32y + -0.04y2 = 0.00 + 0.32y + -0.32y + 0.04y2 + -0.04y2 -0.64 + p2 + -0.32y + -0.04y2 = 0.32y + -0.32y + 0.04y2 + -0.04y2 Combine like terms: 0.32y + -0.32y = 0.00 -0.64 + p2 + -0.32y + -0.04y2 = 0.00 + 0.04y2 + -0.04y2 -0.64 + p2 + -0.32y + -0.04y2 = 0.04y2 + -0.04y2 Combine like terms: 0.04y2 + -0.04y2 = 0.00 -0.64 + p2 + -0.32y + -0.04y2 = 0.00 The solution to this equation could not be determined.
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