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Simplifying
4r2 + -9p2 = 0
Reorder the terms:
-9p2 + 4r2 = 0
Solving
-9p2 + 4r2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-4r2' to each side of the equation.
-9p2 + 4r2 + -4r2 = 0 + -4r2
Combine like terms: 4r2 + -4r2 = 0
-9p2 + 0 = 0 + -4r2
-9p2 = 0 + -4r2
Remove the zero:
-9p2 = -4r2
Divide each side by '-9'.
p2 = 0.4444444444r2
Simplifying
p2 = 0.4444444444r2
Take the square root of each side:
p = {-0.666666667r, 0.666666667r}
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