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Simplifying
4r2 + -7 = 49
Reorder the terms:
-7 + 4r2 = 49
Solving
-7 + 4r2 = 49
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 = 49 + 7
Combine like terms: -7 + 7 = 0
0 + 4r2 = 49 + 7
4r2 = 49 + 7
Combine like terms: 49 + 7 = 56
4r2 = 56
Divide each side by '4'.
r2 = 14
Simplifying
r2 = 14
Take the square root of each side:
r = {-3.741657387, 3.741657387}
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