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Simplifying 16p3q2 = 25p2q5 Solving 16p3q2 = 25p2q5 Solving for variable 'p'. Reorder the terms: -25p2q5 + 16p3q2 = 25p2q5 + -25p2q5 Combine like terms: 25p2q5 + -25p2q5 = 0 -25p2q5 + 16p3q2 = 0 Factor out the Greatest Common Factor (GCF), 'p2q2'. p2q2(-25q3 + 16p) = 0Subproblem 1
Set the factor 'p2q2' equal to zero and attempt to solve: Simplifying p2q2 = 0 Solving p2q2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2q2 = 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 '(-25q3 + 16p)' equal to zero and attempt to solve: Simplifying -25q3 + 16p = 0 Reorder the terms: 16p + -25q3 = 0 Solving 16p + -25q3 = 0 Move all terms containing p to the left, all other terms to the right. Add '25q3' to each side of the equation. 16p + -25q3 + 25q3 = 0 + 25q3 Combine like terms: -25q3 + 25q3 = 0 16p + 0 = 0 + 25q3 16p = 0 + 25q3 Remove the zero: 16p = 25q3 Divide each side by '16'. p = 1.5625q3 Simplifying p = 1.5625q3Solution
p = {1.5625q3}
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