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Simplifying
6r2 + -4 + -130 = 0
Reorder the terms:
-4 + -130 + 6r2 = 0
Combine like terms: -4 + -130 = -134
-134 + 6r2 = 0
Solving
-134 + 6r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '134' to each side of the equation.
-134 + 134 + 6r2 = 0 + 134
Combine like terms: -134 + 134 = 0
0 + 6r2 = 0 + 134
6r2 = 0 + 134
Combine like terms: 0 + 134 = 134
6r2 = 134
Divide each side by '6'.
r2 = 22.33333333
Simplifying
r2 = 22.33333333
Take the square root of each side:
r = {-4.725815626, 4.725815626}
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