16p^2-25pq^2=

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Solution for 16p^2-25pq^2= equation:


Simplifying
16p2 + -25pq2 = 0

Reorder the terms:
-25pq2 + 16p2 = 0

Solving
-25pq2 + 16p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-25q2 + 16p) = 0

Subproblem 1

Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0

Subproblem 2

Set the factor '(-25q2 + 16p)' equal to zero and attempt to solve: Simplifying -25q2 + 16p = 0 Reorder the terms: 16p + -25q2 = 0 Solving 16p + -25q2 = 0 Move all terms containing p to the left, all other terms to the right. Add '25q2' to each side of the equation. 16p + -25q2 + 25q2 = 0 + 25q2 Combine like terms: -25q2 + 25q2 = 0 16p + 0 = 0 + 25q2 16p = 0 + 25q2 Remove the zero: 16p = 25q2 Divide each side by '16'. p = 1.5625q2 Simplifying p = 1.5625q2

Solution

p = {0, 1.5625q2}

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