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Simplifying (4p2q + -3q2 + -2q3)(-1p2q2) = 0 Remove parenthesis around (-1p2q2) (4p2q + -3q2 + -2q3) * -1p2q2 = 0 Reorder the terms for easier multiplication: -1p2q2(4p2q + -3q2 + -2q3) = 0 (4p2q * -1p2q2 + -3q2 * -1p2q2 + -2q3 * -1p2q2) = 0 Reorder the terms: (3p2q4 + 2p2q5 + -4p4q3) = 0 (3p2q4 + 2p2q5 + -4p4q3) = 0 Solving 3p2q4 + 2p2q5 + -4p4q3 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'p2q3'. p2q3(3q + 2q2 + -4p2) = 0Subproblem 1
Set the factor 'p2q3' equal to zero and attempt to solve: Simplifying p2q3 = 0 Solving p2q3 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2q3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3q + 2q2 + -4p2)' equal to zero and attempt to solve: Simplifying 3q + 2q2 + -4p2 = 0 Reorder the terms: -4p2 + 3q + 2q2 = 0 Solving -4p2 + 3q + 2q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-3q' to each side of the equation. -4p2 + 3q + -3q + 2q2 = 0 + -3q Combine like terms: 3q + -3q = 0 -4p2 + 0 + 2q2 = 0 + -3q -4p2 + 2q2 = 0 + -3q Remove the zero: -4p2 + 2q2 = -3q Add '-2q2' to each side of the equation. -4p2 + 2q2 + -2q2 = -3q + -2q2 Combine like terms: 2q2 + -2q2 = 0 -4p2 + 0 = -3q + -2q2 -4p2 = -3q + -2q2 Divide each side by '-4'. p2 = 0.75q + 0.5q2 Simplifying p2 = 0.75q + 0.5q2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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