3r^2-24-5=0

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Solution for 3r^2-24-5=0 equation: 


Simplifying
3r2 + -24 + -5 = 0

Reorder the terms:
-24 + -5 + 3r2 = 0

Combine like terms: -24 + -5 = -29
-29 + 3r2 = 0

Solving
-29 + 3r2 = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '29' to each side of the equation.
-29 + 29 + 3r2 = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 3r2 = 0 + 29
3r2 = 0 + 29

Combine like terms: 0 + 29 = 29
3r2 = 29

Divide each side by '3'.
r2 = 9.666666667

Simplifying
r2 = 9.666666667

Take the square root of each side:
r = {-3.109126351, 3.109126351}

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