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Simplifying 15p2q2 + -17pq2 + -4q2 = 0 Reorder the terms: -17pq2 + 15p2q2 + -4q2 = 0 Solving -17pq2 + 15p2q2 + -4q2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'q2'. q2(-17p + 15p2 + -4) = 0 Factor a trinomial. q2((3p + -4)(5p + 1)) = 0Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve: Simplifying q2 = 0 Solving q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q2' to each side of the equation. q2 + -1q2 = 0 + -1q2 Remove the zero: 0 = -1q2 Simplifying 0 = -1q2 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 '(3p + -4)' equal to zero and attempt to solve: Simplifying 3p + -4 = 0 Reorder the terms: -4 + 3p = 0 Solving -4 + 3p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 0 + 4 3p = 0 + 4 Combine like terms: 0 + 4 = 4 3p = 4 Divide each side by '3'. p = 1.333333333 Simplifying p = 1.333333333Subproblem 3
Set the factor '(5p + 1)' equal to zero and attempt to solve: Simplifying 5p + 1 = 0 Reorder the terms: 1 + 5p = 0 Solving 1 + 5p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5p = 0 + -1 5p = 0 + -1 Combine like terms: 0 + -1 = -1 5p = -1 Divide each side by '5'. p = -0.2 Simplifying p = -0.2Solution
p = {1.333333333, -0.2}
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