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Simplifying 16p4 + -100q2 = 0 Solving 16p4 + -100q2 = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '100q2' to each side of the equation. 16p4 + -100q2 + 100q2 = 0 + 100q2 Combine like terms: -100q2 + 100q2 = 0 16p4 + 0 = 0 + 100q2 16p4 = 0 + 100q2 Remove the zero: 16p4 = 100q2 Divide each side by '16'. p4 = 6.25q2 Simplifying p4 = 6.25q2 Combine like terms: 6.25q2 + -6.25q2 = 0.00 p4 + -6.25q2 = 0.00 Factor a difference between two squares. (p2 + 2.5q)(p2 + -2.5q) = 0.00Subproblem 1
Set the factor '(p2 + 2.5q)' equal to zero and attempt to solve: Simplifying p2 + 2.5q = 0 Solving p2 + 2.5q = 0 Move all terms containing p to the left, all other terms to the right. Add '-2.5q' to each side of the equation. p2 + 2.5q + -2.5q = 0 + -2.5q Combine like terms: 2.5q + -2.5q = 0.0 p2 + 0.0 = 0 + -2.5q p2 = 0 + -2.5q Remove the zero: p2 = -2.5q Simplifying p2 = -2.5q 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 '(p2 + -2.5q)' equal to zero and attempt to solve: Simplifying p2 + -2.5q = 0 Solving p2 + -2.5q = 0 Move all terms containing p to the left, all other terms to the right. Add '2.5q' to each side of the equation. p2 + -2.5q + 2.5q = 0 + 2.5q Combine like terms: -2.5q + 2.5q = 0.0 p2 + 0.0 = 0 + 2.5q p2 = 0 + 2.5q Remove the zero: p2 = 2.5q Simplifying p2 = 2.5q 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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