If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 14828.65 = 2 * 3.14r2 + 2 * 3.14r * 176.4 Multiply 2 * 3.14 14828.65 = 6.28r2 + 2 * 3.14r * 176.4 Reorder the terms for easier multiplication: 14828.65 = 6.28r2 + 2 * 3.14 * 176.4r Multiply 2 * 3.14 14828.65 = 6.28r2 + 6.28 * 176.4r Multiply 6.28 * 176.4 14828.65 = 6.28r2 + 1107.792r Reorder the terms: 14828.65 = 1107.792r + 6.28r2 Solving 14828.65 = 1107.792r + 6.28r2 Solving for variable 'r'. Reorder the terms: 14828.65 + -1107.792r + -6.28r2 = 1107.792r + -1107.792r + 6.28r2 + -6.28r2 Combine like terms: 1107.792r + -1107.792r = 0.000 14828.65 + -1107.792r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 14828.65 + -1107.792r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 14828.65 + -1107.792r + -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'. -2361.25 + 176.4r + r2 = 0 Move the constant term to the right: Add '2361.25' to each side of the equation. -2361.25 + 176.4r + 2361.25 + r2 = 0 + 2361.25 Reorder the terms: -2361.25 + 2361.25 + 176.4r + r2 = 0 + 2361.25 Combine like terms: -2361.25 + 2361.25 = 0.00 0.00 + 176.4r + r2 = 0 + 2361.25 176.4r + r2 = 0 + 2361.25 Combine like terms: 0 + 2361.25 = 2361.25 176.4r + r2 = 2361.25 The r term is 176.4r. Take half its coefficient (88.2). Square it (7779.24) and add it to both sides. Add '7779.24' to each side of the equation. 176.4r + 7779.24 + r2 = 2361.25 + 7779.24 Reorder the terms: 7779.24 + 176.4r + r2 = 2361.25 + 7779.24 Combine like terms: 2361.25 + 7779.24 = 10140.49 7779.24 + 176.4r + r2 = 10140.49 Factor a perfect square on the left side: (r + 88.2)(r + 88.2) = 10140.49 Calculate the square root of the right side: 100.7 Break this problem into two subproblems by setting (r + 88.2) equal to 100.7 and -100.7.Subproblem 1
r + 88.2 = 100.7 Simplifying r + 88.2 = 100.7 Reorder the terms: 88.2 + r = 100.7 Solving 88.2 + r = 100.7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-88.2' to each side of the equation. 88.2 + -88.2 + r = 100.7 + -88.2 Combine like terms: 88.2 + -88.2 = 0.0 0.0 + r = 100.7 + -88.2 r = 100.7 + -88.2 Combine like terms: 100.7 + -88.2 = 12.5 r = 12.5 Simplifying r = 12.5Subproblem 2
r + 88.2 = -100.7 Simplifying r + 88.2 = -100.7 Reorder the terms: 88.2 + r = -100.7 Solving 88.2 + r = -100.7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-88.2' to each side of the equation. 88.2 + -88.2 + r = -100.7 + -88.2 Combine like terms: 88.2 + -88.2 = 0.0 0.0 + r = -100.7 + -88.2 r = -100.7 + -88.2 Combine like terms: -100.7 + -88.2 = -188.9 r = -188.9 Simplifying r = -188.9Solution
The solution to the problem is based on the solutions from the subproblems. r = {12.5, -188.9}
| 354+3x=630 | | -5e-8(1+7e)=-8 | | -16+-8t=7(t+2) | | 4.85=1.25x+6.1 | | 8z+15=01 | | -18-3y=57 | | 9(4d-8)=-31-2d | | 8x=x+56 | | 5q-3.75=26.5 | | f/77-4/77=5/7 | | 14+12y+10k-3y-4k-16= | | y^3-y^2-2=0 | | F(-7)=5x-8 | | 3c^2=9-26c | | 2=.3h-3-.75h | | 3x^2-10x+60=x^2-5x+60 | | 3x--7=45 | | -5+(r-5)= | | 2x^2-4x+10=10 | | 6=5b^2+7b | | -3-(q-6)= | | 4v+17=9v | | (x^2-2yz^2-y^2)(y^2+x)=0 | | 42r-2(13-5r)+7=35 | | 8=3x+4 | | 5t-14=-4 | | 4y^2-x^2-24y+32=0 | | 3x-3x=4 | | 7+(p+8)= | | 7-(-n-8)= | | 50+3x=80+7x | | 9(4d-9)=-31-2d |