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Simplifying
4r2 + -7 = 105
Reorder the terms:
-7 + 4r2 = 105
Solving
-7 + 4r2 = 105
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4r2 = 105 + 7
Combine like terms: -7 + 7 = 0
0 + 4r2 = 105 + 7
4r2 = 105 + 7
Combine like terms: 105 + 7 = 112
4r2 = 112
Divide each side by '4'.
r2 = 28
Simplifying
r2 = 28
Take the square root of each side:
r = {-5.291502622, 5.291502622}
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