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Simplifying 4p + 5q(q + 2) = -19 Reorder the terms: 4p + 5q(2 + q) = -19 4p + (2 * 5q + q * 5q) = -19 4p + (10q + 5q2) = -19 Solving 4p + 10q + 5q2 = -19 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10q' to each side of the equation. 4p + 10q + -10q + 5q2 = -19 + -10q Combine like terms: 10q + -10q = 0 4p + 0 + 5q2 = -19 + -10q 4p + 5q2 = -19 + -10q Add '-5q2' to each side of the equation. 4p + 5q2 + -5q2 = -19 + -10q + -5q2 Combine like terms: 5q2 + -5q2 = 0 4p + 0 = -19 + -10q + -5q2 4p = -19 + -10q + -5q2 Divide each side by '4'. p = -4.75 + -2.5q + -1.25q2 Simplifying p = -4.75 + -2.5q + -1.25q2
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