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Simplifying
9r2 + -16p2 = 0
Reorder the terms:
-16p2 + 9r2 = 0
Solving
-16p2 + 9r2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9r2' to each side of the equation.
-16p2 + 9r2 + -9r2 = 0 + -9r2
Combine like terms: 9r2 + -9r2 = 0
-16p2 + 0 = 0 + -9r2
-16p2 = 0 + -9r2
Remove the zero:
-16p2 = -9r2
Divide each side by '-16'.
p2 = 0.5625r2
Simplifying
p2 = 0.5625r2
Take the square root of each side:
p = {-0.75r, 0.75r}
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