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Simplifying (-37p)(2q)(q + -1p) = 0 Remove parenthesis around (-37p) -37p(2q)(q + -1p) = 0 Remove parenthesis around (2q) -37p * 2q(q + -1p) = 0 Reorder the terms: -37p * 2q(-1p + q) = 0 Reorder the terms for easier multiplication: -37 * 2p * q(-1p + q) = 0 Multiply -37 * 2 -74p * q(-1p + q) = 0 Multiply p * q -74pq(-1p + q) = 0 (-1p * -74pq + q * -74pq) = 0 Reorder the terms: (-74pq2 + 74p2q) = 0 (-74pq2 + 74p2q) = 0 Solving -74pq2 + 74p2q = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '74pq'. 74pq(-1q + p) = 0 Ignore the factor 74.Subproblem 1
Set the factor 'pq' equal to zero and attempt to solve: Simplifying pq = 0 Solving pq = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pq = 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 '(-1q + p)' equal to zero and attempt to solve: Simplifying -1q + p = 0 Reorder the terms: p + -1q = 0 Solving p + -1q = 0 Move all terms containing p to the left, all other terms to the right. Add 'q' to each side of the equation. p + -1q + q = 0 + q Combine like terms: -1q + q = 0 p + 0 = 0 + q p = 0 + q Remove the zero: p = q Simplifying p = qSolution
p = {q}
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