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Simplifying
3r2 + 8 + -82 = -2
Reorder the terms:
8 + -82 + 3r2 = -2
Combine like terms: 8 + -82 = -74
-74 + 3r2 = -2
Solving
-74 + 3r2 = -2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '74' to each side of the equation.
-74 + 74 + 3r2 = -2 + 74
Combine like terms: -74 + 74 = 0
0 + 3r2 = -2 + 74
3r2 = -2 + 74
Combine like terms: -2 + 74 = 72
3r2 = 72
Divide each side by '3'.
r2 = 24
Simplifying
r2 = 24
Take the square root of each side:
r = {-4.898979486, 4.898979486}
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