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Simplifying
5r2 + -2 = 403
Reorder the terms:
-2 + 5r2 = 403
Solving
-2 + 5r2 = 403
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + 5r2 = 403 + 2
Combine like terms: -2 + 2 = 0
0 + 5r2 = 403 + 2
5r2 = 403 + 2
Combine like terms: 403 + 2 = 405
5r2 = 405
Divide each side by '5'.
r2 = 81
Simplifying
r2 = 81
Take the square root of each side:
r = {-9, 9}
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