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Simplifying -40p2 = 2(4p)(-5q) Remove parenthesis around (4p) -40p2 = 2 * 4p(-5q) Remove parenthesis around (-5q) -40p2 = 2 * 4p * -5q Reorder the terms for easier multiplication: -40p2 = 2 * 4 * -5p * q Multiply 2 * 4 -40p2 = 8 * -5p * q Multiply 8 * -5 -40p2 = -40p * q Multiply p * q -40p2 = -40pq Solving -40p2 = -40pq Solving for variable 'p'. Reorder the terms: 40pq + -40p2 = -40pq + 40pq Combine like terms: -40pq + 40pq = 0 40pq + -40p2 = 0 Factor out the Greatest Common Factor (GCF), '40p'. 40p(q + -1p) = 0 Ignore the factor 40.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(q + -1p)' equal to zero and attempt to solve: Simplifying q + -1p = 0 Reorder the terms: -1p + q = 0 Solving -1p + q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. -1p + q + -1q = 0 + -1q Combine like terms: q + -1q = 0 -1p + 0 = 0 + -1q -1p = 0 + -1q Remove the zero: -1p = -1q Divide each side by '-1'. p = q Simplifying p = qSolution
p = {0, q}
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