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Simplifying
(8 + -5r)(8 + 5r) = 0
Multiply (8 + -5r) * (8 + 5r)
(8(8 + 5r) + -5r * (8 + 5r)) = 0
((8 * 8 + 5r * 8) + -5r * (8 + 5r)) = 0
((64 + 40r) + -5r * (8 + 5r)) = 0
(64 + 40r + (8 * -5r + 5r * -5r)) = 0
(64 + 40r + (-40r + -25r2)) = 0
Combine like terms: 40r + -40r = 0
(64 + 0 + -25r2) = 0
(64 + -25r2) = 0
Solving
64 + -25r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-64' to each side of the equation.
64 + -64 + -25r2 = 0 + -64
Combine like terms: 64 + -64 = 0
0 + -25r2 = 0 + -64
-25r2 = 0 + -64
Combine like terms: 0 + -64 = -64
-25r2 = -64
Divide each side by '-25'.
r2 = 2.56
Simplifying
r2 = 2.56
Take the square root of each side:
r = {-1.6, 1.6}
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