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Simplifying
9w2 + -100p2 = 0
Reorder the terms:
-100p2 + 9w2 = 0
Solving
-100p2 + 9w2 = 0
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9w2' to each side of the equation.
-100p2 + 9w2 + -9w2 = 0 + -9w2
Combine like terms: 9w2 + -9w2 = 0
-100p2 + 0 = 0 + -9w2
-100p2 = 0 + -9w2
Remove the zero:
-100p2 = -9w2
Divide each side by '-100'.
p2 = 0.09w2
Simplifying
p2 = 0.09w2
Take the square root of each side:
p = {-0.3w, 0.3w}
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