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Simplifying
21r2 + 53r2 + -8 = 0
Reorder the terms:
-8 + 21r2 + 53r2 = 0
Combine like terms: 21r2 + 53r2 = 74r2
-8 + 74r2 = 0
Solving
-8 + 74r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 74r2 = 0 + 8
Combine like terms: -8 + 8 = 0
0 + 74r2 = 0 + 8
74r2 = 0 + 8
Combine like terms: 0 + 8 = 8
74r2 = 8
Divide each side by '74'.
r2 = 0.1081081081
Simplifying
r2 = 0.1081081081
Take the square root of each side:
r = {-0.328797975, 0.328797975}
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