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Simplifying
54 + 0r + -3r2 = 0
Anything times zero is zero.
54 + 0r + -3r2 = 0
Combine like terms: 54 + 0 = 54
54 + -3r2 = 0
Solving
54 + -3r2 = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-54' to each side of the equation.
54 + -54 + -3r2 = 0 + -54
Combine like terms: 54 + -54 = 0
0 + -3r2 = 0 + -54
-3r2 = 0 + -54
Combine like terms: 0 + -54 = -54
-3r2 = -54
Divide each side by '-3'.
r2 = 18
Simplifying
r2 = 18
Take the square root of each side:
r = {-4.242640687, 4.242640687}
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