3318.1008=2*3.14*r*r+2*3.14*r*36.5

Simple and best practice solution for 3318.1008=2*3.14*r*r+2*3.14*r*36.5 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3318.1008=2*3.14*r*r+2*3.14*r*36.5 equation:


Simplifying
3318.1008 = 2 * 3.14r * r + 2 * 3.14r * 36.5

Multiply 2 * 3.14
3318.1008 = 6.28r * r + 2 * 3.14r * 36.5

Multiply r * r
3318.1008 = 6.28r2 + 2 * 3.14r * 36.5

Reorder the terms for easier multiplication:
3318.1008 = 6.28r2 + 2 * 3.14 * 36.5r

Multiply 2 * 3.14
3318.1008 = 6.28r2 + 6.28 * 36.5r

Multiply 6.28 * 36.5
3318.1008 = 6.28r2 + 229.22r

Reorder the terms:
3318.1008 = 229.22r + 6.28r2

Solving
3318.1008 = 229.22r + 6.28r2

Solving for variable 'r'.

Reorder the terms:
3318.1008 + -229.22r + -6.28r2 = 229.22r + -229.22r + 6.28r2 + -6.28r2

Combine like terms: 229.22r + -229.22r = 0.00
3318.1008 + -229.22r + -6.28r2 = 0.00 + 6.28r2 + -6.28r2
3318.1008 + -229.22r + -6.28r2 = 6.28r2 + -6.28r2

Combine like terms: 6.28r2 + -6.28r2 = 0.00
3318.1008 + -229.22r + -6.28r2 = 0.00

Begin completing the square.  Divide all terms by
-6.28 the coefficient of the squared term: 

Divide each side by '-6.28'.
-528.36 + 36.5r + r2 = 0

Move the constant term to the right:

Add '528.36' to each side of the equation.
-528.36 + 36.5r + 528.36 + r2 = 0 + 528.36

Reorder the terms:
-528.36 + 528.36 + 36.5r + r2 = 0 + 528.36

Combine like terms: -528.36 + 528.36 = 0.00
0.00 + 36.5r + r2 = 0 + 528.36
36.5r + r2 = 0 + 528.36

Combine like terms: 0 + 528.36 = 528.36
36.5r + r2 = 528.36

The r term is 36.5r.  Take half its coefficient (18.25).
Square it (333.0625) and add it to both sides.

Add '333.0625' to each side of the equation.
36.5r + 333.0625 + r2 = 528.36 + 333.0625

Reorder the terms:
333.0625 + 36.5r + r2 = 528.36 + 333.0625

Combine like terms: 528.36 + 333.0625 = 861.4225
333.0625 + 36.5r + r2 = 861.4225

Factor a perfect square on the left side:
(r + 18.25)(r + 18.25) = 861.4225

Calculate the square root of the right side: 29.35

Break this problem into two subproblems by setting 
(r + 18.25) equal to 29.35 and -29.35.

Subproblem 1

r + 18.25 = 29.35 Simplifying r + 18.25 = 29.35 Reorder the terms: 18.25 + r = 29.35 Solving 18.25 + r = 29.35 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18.25' to each side of the equation. 18.25 + -18.25 + r = 29.35 + -18.25 Combine like terms: 18.25 + -18.25 = 0.00 0.00 + r = 29.35 + -18.25 r = 29.35 + -18.25 Combine like terms: 29.35 + -18.25 = 11.1 r = 11.1 Simplifying r = 11.1

Subproblem 2

r + 18.25 = -29.35 Simplifying r + 18.25 = -29.35 Reorder the terms: 18.25 + r = -29.35 Solving 18.25 + r = -29.35 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18.25' to each side of the equation. 18.25 + -18.25 + r = -29.35 + -18.25 Combine like terms: 18.25 + -18.25 = 0.00 0.00 + r = -29.35 + -18.25 r = -29.35 + -18.25 Combine like terms: -29.35 + -18.25 = -47.6 r = -47.6 Simplifying r = -47.6

Solution

The solution to the problem is based on the solutions from the subproblems. r = {11.1, -47.6}

See similar equations:

| [(3x)^4]/[81(x^-2)^-2] | | 2(3X-4)+5X=58 | | 2x-6(2-x)=12 | | 2x+3y-4+x^2-5y+8= | | t^2=2.3-0.5 | | 2N-16=3(2N-16)-6 | | y=6x+ax+b | | 27-6(8)+17= | | 5+7(X-3)=44 | | 2N-16=3(2N-16)+6 | | 5z/4=-8 | | t^2=2.3-.5g | | 2N-16=6N-48+6 | | -55-5(-5-3/2) | | 5y+12=-3y-5 | | t^2=2.3-5g | | 2N-16=6N-42-16 | | -27x-2x=8-9x | | 8+9(x-3)=44 | | -20j-14=20-17j-7 | | x-8.5=-4.5 | | Y=3(-2)-13 | | -17t-3t+2=-20t+2 | | 14469.12=2*3.14*r*r+2*3.14*r*180 | | 18-121=7x+132 | | 2.3-.25gt=0 | | -(4y+2)-(-3y-6)=2 | | 2xm+(x+3m)=24 | | 3(x+3)=24-306 | | 9q+2=2+9q | | 4t^3-18t^2+24t=0 | | x+16=2x+2 |

Equations solver categories