p^4q^3-q=

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Solution for p^4q^3-q= equation:


Simplifying
p4q3 + -1q = 0

Solving
p4q3 + -1q = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add 'q' to each side of the equation.
p4q3 + -1q + q = 0 + q

Combine like terms: -1q + q = 0
p4q3 + 0 = 0 + q
p4q3 = 0 + q
Remove the zero:
p4q3 = q

Divide each side by 'q3'.
p4 = q-2

Simplifying
p4 = q-2

Combine like terms: q-2 + -1q-2 = 0
p4 + -1q-2 = 0

Factor out the Greatest Common Factor (GCF), 'q-2'.
q-2(p4q2 + -1) = 0

Factor a difference between two squares.
q-2((p2q + 1)(p2q + -1)) = 0

Subproblem 1

Set the factor 'q-2' equal to zero and attempt to solve: Simplifying q-2 = 0 Solving q-2 = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q-2' to each side of the equation. q-2 + -1q-2 = 0 + -1q-2 Remove the zero: 0 = -1q-2 Simplifying 0 = -1q-2 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 '(p2q + 1)' equal to zero and attempt to solve: Simplifying p2q + 1 = 0 Reorder the terms: 1 + p2q = 0 Solving 1 + p2q = 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 + p2q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + p2q = 0 + -1 p2q = 0 + -1 Combine like terms: 0 + -1 = -1 p2q = -1 Divide each side by 'q'. p2 = -1q-1 Simplifying p2 = -1q-1 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 '(p2q + -1)' equal to zero and attempt to solve: Simplifying p2q + -1 = 0 Reorder the terms: -1 + p2q = 0 Solving -1 + p2q = 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 + p2q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + p2q = 0 + 1 p2q = 0 + 1 Combine like terms: 0 + 1 = 1 p2q = 1 Divide each side by 'q'. p2 = q-1 Simplifying p2 = q-1 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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