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Simplifying 9pq4 + -9pr4 = 0 Solving 9pq4 + -9pr4 = 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), '9p'. 9p(q4 + -1r4) = 0 Factor a difference between two squares. 9p((q2 + r2)(q2 + -1r2)) = 0 Factor a difference between two squares. 9p((q2 + r2)((q + r)(q + -1r))) = 0 Ignore the factor 9.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 '(q2 + r2)' equal to zero and attempt to solve: Simplifying q2 + r2 = 0 Solving q2 + r2 = 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 + r2 = 0 + -1q2 Combine like terms: q2 + -1q2 = 0 0 + r2 = 0 + -1q2 r2 = 0 + -1q2 Remove the zero: r2 = -1q2 Add '-1r2' to each side of the equation. r2 + -1r2 = -1q2 + -1r2 Combine like terms: r2 + -1r2 = 0 0 = -1q2 + -1r2 Simplifying 0 = -1q2 + -1r2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(q + r)' equal to zero and attempt to solve: Simplifying q + r = 0 Solving q + r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q + r = 0 + -1q Combine like terms: q + -1q = 0 0 + r = 0 + -1q r = 0 + -1q Remove the zero: r = -1q Add '-1r' to each side of the equation. r + -1r = -1q + -1r Combine like terms: r + -1r = 0 0 = -1q + -1r Simplifying 0 = -1q + -1r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(q + -1r)' equal to zero and attempt to solve: Simplifying q + -1r = 0 Solving q + -1r = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q + -1r = 0 + -1q Combine like terms: q + -1q = 0 0 + -1r = 0 + -1q -1r = 0 + -1q Remove the zero: -1r = -1q Add 'r' to each side of the equation. -1r + r = -1q + r Combine like terms: -1r + r = 0 0 = -1q + r Simplifying 0 = -1q + r 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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