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Simplifying
14r2 + -23r2 + 8 = 0
Reorder the terms:
8 + 14r2 + -23r2 = 0
Combine like terms: 14r2 + -23r2 = -9r2
8 + -9r2 = 0
Solving
8 + -9r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -9r2 = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -9r2 = 0 + -8
-9r2 = 0 + -8
Combine like terms: 0 + -8 = -8
-9r2 = -8
Divide each side by '-9'.
r2 = 0.8888888889
Simplifying
r2 = 0.8888888889
Take the square root of each side:
r = {-0.942809042, 0.942809042}
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