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Simplifying
4r2 + -16 = 84
Reorder the terms:
-16 + 4r2 = 84
Solving
-16 + 4r2 = 84
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 4r2 = 84 + 16
Combine like terms: -16 + 16 = 0
0 + 4r2 = 84 + 16
4r2 = 84 + 16
Combine like terms: 84 + 16 = 100
4r2 = 100
Divide each side by '4'.
r2 = 25
Simplifying
r2 = 25
Take the square root of each side:
r = {-5, 5}
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