648(3.14)=2(3.14)r(15)+2r

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Solution for 648(3.14)=2(3.14)r(15)+2r equation:


Simplifying
648(3.14) = 2(3.14) * r(15) + 2r

Multiply 648 * 3.14
2034.72 = 2(3.14) * r(15) + 2r

Reorder the terms for easier multiplication:
2034.72 = 2 * 3.14 * 15r + 2r

Multiply 2 * 3.14
2034.72 = 6.28 * 15r + 2r

Multiply 6.28 * 15
2034.72 = 94.2r + 2r

Combine like terms: 94.2r + 2r = 96.2r
2034.72 = 96.2r

Solving
2034.72 = 96.2r

Solving for variable 'r'.

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

Add '-96.2r' to each side of the equation.
2034.72 + -96.2r = 96.2r + -96.2r

Combine like terms: 96.2r + -96.2r = 0.0
2034.72 + -96.2r = 0.0

Add '-2034.72' to each side of the equation.
2034.72 + -2034.72 + -96.2r = 0.0 + -2034.72

Combine like terms: 2034.72 + -2034.72 = 0.00
0.00 + -96.2r = 0.0 + -2034.72
-96.2r = 0.0 + -2034.72

Combine like terms: 0.0 + -2034.72 = -2034.72
-96.2r = -2034.72

Divide each side by '-96.2'.
r = 21.15093555

Simplifying
r = 21.15093555

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