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Simplifying
-2r2 + -10 = -82
Reorder the terms:
-10 + -2r2 = -82
Solving
-10 + -2r2 = -82
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + -2r2 = -82 + 10
Combine like terms: -10 + 10 = 0
0 + -2r2 = -82 + 10
-2r2 = -82 + 10
Combine like terms: -82 + 10 = -72
-2r2 = -72
Divide each side by '-2'.
r2 = 36
Simplifying
r2 = 36
Take the square root of each side:
r = {-6, 6}
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