5(r^2-1)=120

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Solution for 5(r^2-1)=120 equation:


Simplifying
5(r2 + -1) = 120

Reorder the terms:
5(-1 + r2) = 120
(-1 * 5 + r2 * 5) = 120
(-5 + 5r2) = 120

Solving
-5 + 5r2 = 120

Solving for variable 'r'.

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

Add '5' to each side of the equation.
-5 + 5 + 5r2 = 120 + 5

Combine like terms: -5 + 5 = 0
0 + 5r2 = 120 + 5
5r2 = 120 + 5

Combine like terms: 120 + 5 = 125
5r2 = 125

Divide each side by '5'.
r2 = 25

Simplifying
r2 = 25

Take the square root of each side:
r = {-5, 5}

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