5r^2+7=102

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Solution for 5r^2+7=102 equation:


Simplifying
5r2 + 7 = 102

Reorder the terms:
7 + 5r2 = 102

Solving
7 + 5r2 = 102

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 + 5r2 = 102 + -7

Combine like terms: 7 + -7 = 0
0 + 5r2 = 102 + -7
5r2 = 102 + -7

Combine like terms: 102 + -7 = 95
5r2 = 95

Divide each side by '5'.
r2 = 19

Simplifying
r2 = 19

Take the square root of each side:
r = {-4.358898944, 4.358898944}

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