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Simplifying
7r2 + -20 = 0
Reorder the terms:
-20 + 7r2 = 0
Solving
-20 + 7r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 7r2 = 0 + 20
Combine like terms: -20 + 20 = 0
0 + 7r2 = 0 + 20
7r2 = 0 + 20
Combine like terms: 0 + 20 = 20
7r2 = 20
Divide each side by '7'.
r2 = 2.857142857
Simplifying
r2 = 2.857142857
Take the square root of each side:
r = {-1.690308509, 1.690308509}
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