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Simplifying 81 + -4p6q4 = 0 Solving 81 + -4p6q4 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -4p6q4 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -4p6q4 = 0 + -81 -4p6q4 = 0 + -81 Combine like terms: 0 + -81 = -81 -4p6q4 = -81 Divide each side by '-4q4'. p6 = 20.25q-4 Simplifying p6 = 20.25q-4 Combine like terms: 20.25q-4 + -20.25q-4 = 0.00 p6 + -20.25q-4 = 0.00 Factor out the Greatest Common Factor (GCF), 'q-4'. q-4(p6q4 + -20.25) = 0.00 Factor a difference between two squares. q-4((p3q2 + 4.5)(p3q2 + -4.5)) = 0.00Subproblem 1
Set the factor 'q-4' equal to zero and attempt to solve: Simplifying q-4 = 0 Solving q-4 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q-4' to each side of the equation. q-4 + -1q-4 = 0 + -1q-4 Remove the zero: 0 = -1q-4 Simplifying 0 = -1q-4 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 '(p3q2 + 4.5)' equal to zero and attempt to solve: Simplifying p3q2 + 4.5 = 0 Reorder the terms: 4.5 + p3q2 = 0 Solving 4.5 + p3q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + p3q2 = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + p3q2 = 0 + -4.5 p3q2 = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 p3q2 = -4.5 Divide each side by 'q2'. p3 = -4.5q-2 Simplifying p3 = -4.5q-2 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 '(p3q2 + -4.5)' equal to zero and attempt to solve: Simplifying p3q2 + -4.5 = 0 Reorder the terms: -4.5 + p3q2 = 0 Solving -4.5 + p3q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + p3q2 = 0 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + p3q2 = 0 + 4.5 p3q2 = 0 + 4.5 Combine like terms: 0 + 4.5 = 4.5 p3q2 = 4.5 Divide each side by 'q2'. p3 = 4.5q-2 Simplifying p3 = 4.5q-2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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