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Simplifying
2r2 + 5 = 8r2 + -211
Reorder the terms:
5 + 2r2 = 8r2 + -211
Reorder the terms:
5 + 2r2 = -211 + 8r2
Solving
5 + 2r2 = -211 + 8r2
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-8r2' to each side of the equation.
5 + 2r2 + -8r2 = -211 + 8r2 + -8r2
Combine like terms: 2r2 + -8r2 = -6r2
5 + -6r2 = -211 + 8r2 + -8r2
Combine like terms: 8r2 + -8r2 = 0
5 + -6r2 = -211 + 0
5 + -6r2 = -211
Add '-5' to each side of the equation.
5 + -5 + -6r2 = -211 + -5
Combine like terms: 5 + -5 = 0
0 + -6r2 = -211 + -5
-6r2 = -211 + -5
Combine like terms: -211 + -5 = -216
-6r2 = -216
Divide each side by '-6'.
r2 = 36
Simplifying
r2 = 36
Take the square root of each side:
r = {-6, 6}
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