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Simplifying
20q2 + -5r2 = 0
Solving
20q2 + -5r2 = 0
Solving for variable 'q'.
Move all terms containing q to the left, all other terms to the right.
Add '5r2' to each side of the equation.
20q2 + -5r2 + 5r2 = 0 + 5r2
Combine like terms: -5r2 + 5r2 = 0
20q2 + 0 = 0 + 5r2
20q2 = 0 + 5r2
Remove the zero:
20q2 = 5r2
Divide each side by '20'.
q2 = 0.25r2
Simplifying
q2 = 0.25r2
Take the square root of each side:
q = {-0.5r, 0.5r}
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