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Simplifying 7pq4 + -7py4 = 0 Solving 7pq4 + -7py4 = 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), '7p'. 7p(q4 + -1y4) = 0 Factor a difference between two squares. 7p((q2 + y2)(q2 + -1y2)) = 0 Factor a difference between two squares. 7p((q2 + y2)((q + y)(q + -1y))) = 0 Ignore the factor 7.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 + y2)' equal to zero and attempt to solve: Simplifying q2 + y2 = 0 Solving q2 + y2 = 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 + y2 = 0 + -1q2 Combine like terms: q2 + -1q2 = 0 0 + y2 = 0 + -1q2 y2 = 0 + -1q2 Remove the zero: y2 = -1q2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1q2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1q2 + -1y2 Simplifying 0 = -1q2 + -1y2 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 + y)' equal to zero and attempt to solve: Simplifying q + y = 0 Solving q + y = 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 + y = 0 + -1q Combine like terms: q + -1q = 0 0 + y = 0 + -1q y = 0 + -1q Remove the zero: y = -1q Add '-1y' to each side of the equation. y + -1y = -1q + -1y Combine like terms: y + -1y = 0 0 = -1q + -1y Simplifying 0 = -1q + -1y 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 + -1y)' equal to zero and attempt to solve: Simplifying q + -1y = 0 Solving q + -1y = 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 + -1y = 0 + -1q Combine like terms: q + -1q = 0 0 + -1y = 0 + -1q -1y = 0 + -1q Remove the zero: -1y = -1q Add 'y' to each side of the equation. -1y + y = -1q + y Combine like terms: -1y + y = 0 0 = -1q + y Simplifying 0 = -1q + y 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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