4r^2-9=91

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Solution for 4r^2-9=91 equation:


Simplifying
4r2 + -9 = 91

Reorder the terms:
-9 + 4r2 = 91

Solving
-9 + 4r2 = 91

Solving for variable 'r'.

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

Add '9' to each side of the equation.
-9 + 9 + 4r2 = 91 + 9

Combine like terms: -9 + 9 = 0
0 + 4r2 = 91 + 9
4r2 = 91 + 9

Combine like terms: 91 + 9 = 100
4r2 = 100

Divide each side by '4'.
r2 = 25

Simplifying
r2 = 25

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

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