45p^7q-9p^5q^5-12p^5q^4+21p^5q^3=0

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Solution for 45p^7q-9p^5q^5-12p^5q^4+21p^5q^3=0 equation:


Simplifying
45p7q + -9p5q5 + -12p5q4 + 21p5q3 = 0

Reorder the terms:
21p5q3 + -12p5q4 + -9p5q5 + 45p7q = 0

Solving
21p5q3 + -12p5q4 + -9p5q5 + 45p7q = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p5q'.
3p5q(7q2 + -4q3 + -3q4 + 15p2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'p5q' equal to zero and attempt to solve: Simplifying p5q = 0 Solving p5q = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p5q = 0 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 '(7q2 + -4q3 + -3q4 + 15p2)' equal to zero and attempt to solve: Simplifying 7q2 + -4q3 + -3q4 + 15p2 = 0 Reorder the terms: 15p2 + 7q2 + -4q3 + -3q4 = 0 Solving 15p2 + 7q2 + -4q3 + -3q4 = 0 Move all terms containing p to the left, all other terms to the right. Add '-7q2' to each side of the equation. 15p2 + 7q2 + -4q3 + -7q2 + -3q4 = 0 + -7q2 Reorder the terms: 15p2 + 7q2 + -7q2 + -4q3 + -3q4 = 0 + -7q2 Combine like terms: 7q2 + -7q2 = 0 15p2 + 0 + -4q3 + -3q4 = 0 + -7q2 15p2 + -4q3 + -3q4 = 0 + -7q2 Remove the zero: 15p2 + -4q3 + -3q4 = -7q2 Add '4q3' to each side of the equation. 15p2 + -4q3 + 4q3 + -3q4 = -7q2 + 4q3 Combine like terms: -4q3 + 4q3 = 0 15p2 + 0 + -3q4 = -7q2 + 4q3 15p2 + -3q4 = -7q2 + 4q3 Add '3q4' to each side of the equation. 15p2 + -3q4 + 3q4 = -7q2 + 4q3 + 3q4 Combine like terms: -3q4 + 3q4 = 0 15p2 + 0 = -7q2 + 4q3 + 3q4 15p2 = -7q2 + 4q3 + 3q4 Divide each side by '15'. p2 = -0.4666666667q2 + 0.2666666667q3 + 0.2q4 Simplifying p2 = -0.4666666667q2 + 0.2666666667q3 + 0.2q4 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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