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Simplifying 9q2 + -10pq2 + p2q2 = 0 Reorder the terms: -10pq2 + p2q2 + 9q2 = 0 Solving -10pq2 + p2q2 + 9q2 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), 'q2'. q2(-10p + p2 + 9) = 0 Factor a trinomial. q2((p + -9)(p + -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 '(p + -9)' equal to zero and attempt to solve: Simplifying p + -9 = 0 Reorder the terms: -9 + p = 0 Solving -9 + p = 0 Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + p = 0 + 9 p = 0 + 9 Combine like terms: 0 + 9 = 9 p = 9 Simplifying p = 9Subproblem 3
Set the factor '(p + -1)' equal to zero and attempt to solve: Simplifying p + -1 = 0 Reorder the terms: -1 + p = 0 Solving -1 + p = 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 + p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + p = 0 + 1 p = 0 + 1 Combine like terms: 0 + 1 = 1 p = 1 Simplifying p = 1Solution
p = {9, 1}
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