4(10(3.14))=2(3.14(r^2))

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Solution for 4(10(3.14))=2(3.14(r^2)) equation:


Simplifying
4(10(3.14)) = 2(3.14(r2))

Multiply 10 * 3.14
4(31.4) = 2(3.14(r2))

Multiply 4 * 31.4
125.6 = 2(3.14(r2))

Remove parenthesis around (3.14r2)
125.6 = 2 * 3.14r2

Multiply 2 * 3.14
125.6 = 6.28r2

Solving
125.6 = 6.28r2

Solving for variable 'r'.

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

Add '-6.28r2' to each side of the equation.
125.6 + -6.28r2 = 6.28r2 + -6.28r2

Combine like terms: 6.28r2 + -6.28r2 = 0.00
125.6 + -6.28r2 = 0.00

Add '-125.6' to each side of the equation.
125.6 + -125.6 + -6.28r2 = 0.00 + -125.6

Combine like terms: 125.6 + -125.6 = 0.0
0.0 + -6.28r2 = 0.00 + -125.6
-6.28r2 = 0.00 + -125.6

Combine like terms: 0.00 + -125.6 = -125.6
-6.28r2 = -125.6

Divide each side by '-6.28'.
r2 = 20

Simplifying
r2 = 20

Take the square root of each side:
r = {-4.472135955, 4.472135955}

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