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Simplifying
(r + -9)(r + 9) = 0
Reorder the terms:
(-9 + r)(r + 9) = 0
Reorder the terms:
(-9 + r)(9 + r) = 0
Multiply (-9 + r) * (9 + r)
(-9(9 + r) + r(9 + r)) = 0
((9 * -9 + r * -9) + r(9 + r)) = 0
((-81 + -9r) + r(9 + r)) = 0
(-81 + -9r + (9 * r + r * r)) = 0
(-81 + -9r + (9r + r2)) = 0
Combine like terms: -9r + 9r = 0
(-81 + 0 + r2) = 0
(-81 + r2) = 0
Solving
-81 + r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '81' to each side of the equation.
-81 + 81 + r2 = 0 + 81
Combine like terms: -81 + 81 = 0
0 + r2 = 0 + 81
r2 = 0 + 81
Combine like terms: 0 + 81 = 81
r2 = 81
Simplifying
r2 = 81
Take the square root of each side:
r = {-9, 9}
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