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Simplifying q2 + 4p + 1 = 0 Reorder the terms: 1 + 4p + q2 = 0 Solving 1 + 4p + q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4p + -1 + q2 = 0 + -1 Reorder the terms: 1 + -1 + 4p + q2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4p + q2 = 0 + -1 4p + q2 = 0 + -1 Combine like terms: 0 + -1 = -1 4p + q2 = -1 Add '-1q2' to each side of the equation. 4p + q2 + -1q2 = -1 + -1q2 Combine like terms: q2 + -1q2 = 0 4p + 0 = -1 + -1q2 4p = -1 + -1q2 Divide each side by '4'. p = -0.25 + -0.25q2 Simplifying p = -0.25 + -0.25q2
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