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Simplifying
9r2 + -5 + -10 = 0
Reorder the terms:
-5 + -10 + 9r2 = 0
Combine like terms: -5 + -10 = -15
-15 + 9r2 = 0
Solving
-15 + 9r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 9r2 = 0 + 15
Combine like terms: -15 + 15 = 0
0 + 9r2 = 0 + 15
9r2 = 0 + 15
Combine like terms: 0 + 15 = 15
9r2 = 15
Divide each side by '9'.
r2 = 1.666666667
Simplifying
r2 = 1.666666667
Take the square root of each side:
r = {-1.290994449, 1.290994449}
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