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Simplifying
4r2 + 9 = 69
Reorder the terms:
9 + 4r2 = 69
Solving
9 + 4r2 = 69
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 4r2 = 69 + -9
Combine like terms: 9 + -9 = 0
0 + 4r2 = 69 + -9
4r2 = 69 + -9
Combine like terms: 69 + -9 = 60
4r2 = 60
Divide each side by '4'.
r2 = 15
Simplifying
r2 = 15
Take the square root of each side:
r = {-3.872983346, 3.872983346}
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