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Simplifying 8p + -1(6pq + 4p) = 0 Reorder the terms: 8p + -1(4p + 6pq) = 0 8p + (4p * -1 + 6pq * -1) = 0 8p + (-4p + -6pq) = 0 Combine like terms: 8p + -4p = 4p 4p + -6pq = 0 Solving 4p + -6pq = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2p'. 2p(2 + -3q) = 0 Ignore the factor 2.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 '(2 + -3q)' equal to zero and attempt to solve: Simplifying 2 + -3q = 0 Solving 2 + -3q = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3q = 0 + -2 -3q = 0 + -2 Combine like terms: 0 + -2 = -2 -3q = -2 Add '3q' to each side of the equation. -3q + 3q = -2 + 3q Combine like terms: -3q + 3q = 0 0 = -2 + 3q Simplifying 0 = -2 + 3q The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
p = {0}
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