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Simplifying
9r2 + -64d2 = 0
Reorder the terms:
-64d2 + 9r2 = 0
Solving
-64d2 + 9r2 = 0
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-9r2' to each side of the equation.
-64d2 + 9r2 + -9r2 = 0 + -9r2
Combine like terms: 9r2 + -9r2 = 0
-64d2 + 0 = 0 + -9r2
-64d2 = 0 + -9r2
Remove the zero:
-64d2 = -9r2
Divide each side by '-64'.
d2 = 0.140625r2
Simplifying
d2 = 0.140625r2
Take the square root of each side:
d = {-0.375r, 0.375r}
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