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Simplifying
8r2 + 2 = 114
Reorder the terms:
2 + 8r2 = 114
Solving
2 + 8r2 = 114
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + 8r2 = 114 + -2
Combine like terms: 2 + -2 = 0
0 + 8r2 = 114 + -2
8r2 = 114 + -2
Combine like terms: 114 + -2 = 112
8r2 = 112
Divide each side by '8'.
r2 = 14
Simplifying
r2 = 14
Take the square root of each side:
r = {-3.741657387, 3.741657387}
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