53(144-r^2)=120

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Solution for 53(144-r^2)=120 equation:


Simplifying
53(144 + -1r2) = 120
(144 * 53 + -1r2 * 53) = 120
(7632 + -53r2) = 120

Solving
7632 + -53r2 = 120

Solving for variable 'r'.

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

Add '-7632' to each side of the equation.
7632 + -7632 + -53r2 = 120 + -7632

Combine like terms: 7632 + -7632 = 0
0 + -53r2 = 120 + -7632
-53r2 = 120 + -7632

Combine like terms: 120 + -7632 = -7512
-53r2 = -7512

Divide each side by '-53'.
r2 = 141.7358491

Simplifying
r2 = 141.7358491

Take the square root of each side:
r = {-11.905286603, 11.905286603}

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