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Simplifying
(2 + r)(2 + -1r) = 0
Multiply (2 + r) * (2 + -1r)
(2(2 + -1r) + r(2 + -1r)) = 0
((2 * 2 + -1r * 2) + r(2 + -1r)) = 0
((4 + -2r) + r(2 + -1r)) = 0
(4 + -2r + (2 * r + -1r * r)) = 0
(4 + -2r + (2r + -1r2)) = 0
Combine like terms: -2r + 2r = 0
(4 + 0 + -1r2) = 0
(4 + -1r2) = 0
Solving
4 + -1r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1r2 = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1r2 = 0 + -4
-1r2 = 0 + -4
Combine like terms: 0 + -4 = -4
-1r2 = -4
Divide each side by '-1'.
r2 = 4
Simplifying
r2 = 4
Take the square root of each side:
r = {-2, 2}
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