If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5651.8116 = 2 * 3.14r2 + 2 * 3.14r * 55.6 Multiply 2 * 3.14 5651.8116 = 6.28r2 + 2 * 3.14r * 55.6 Reorder the terms for easier multiplication: 5651.8116 = 6.28r2 + 2 * 3.14 * 55.6r Multiply 2 * 3.14 5651.8116 = 6.28r2 + 6.28 * 55.6r Multiply 6.28 * 55.6 5651.8116 = 6.28r2 + 349.168r Reorder the terms: 5651.8116 = 349.168r + 6.28r2 Solving 5651.8116 = 349.168r + 6.28r2 Solving for variable 'r'. Reorder the terms: 5651.8116 + -349.168r + -6.28r2 = 349.168r + -349.168r + 6.28r2 + -6.28r2 Combine like terms: 349.168r + -349.168r = 0.000 5651.8116 + -349.168r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 5651.8116 + -349.168r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 5651.8116 + -349.168r + -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'. -899.97 + 55.6r + r2 = 0 Move the constant term to the right: Add '899.97' to each side of the equation. -899.97 + 55.6r + 899.97 + r2 = 0 + 899.97 Reorder the terms: -899.97 + 899.97 + 55.6r + r2 = 0 + 899.97 Combine like terms: -899.97 + 899.97 = 0.00 0.00 + 55.6r + r2 = 0 + 899.97 55.6r + r2 = 0 + 899.97 Combine like terms: 0 + 899.97 = 899.97 55.6r + r2 = 899.97 The r term is 55.6r. Take half its coefficient (27.8). Square it (772.84) and add it to both sides. Add '772.84' to each side of the equation. 55.6r + 772.84 + r2 = 899.97 + 772.84 Reorder the terms: 772.84 + 55.6r + r2 = 899.97 + 772.84 Combine like terms: 899.97 + 772.84 = 1672.81 772.84 + 55.6r + r2 = 1672.81 Factor a perfect square on the left side: (r + 27.8)(r + 27.8) = 1672.81 Calculate the square root of the right side: 40.9 Break this problem into two subproblems by setting (r + 27.8) equal to 40.9 and -40.9.Subproblem 1
r + 27.8 = 40.9 Simplifying r + 27.8 = 40.9 Reorder the terms: 27.8 + r = 40.9 Solving 27.8 + r = 40.9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27.8' to each side of the equation. 27.8 + -27.8 + r = 40.9 + -27.8 Combine like terms: 27.8 + -27.8 = 0.0 0.0 + r = 40.9 + -27.8 r = 40.9 + -27.8 Combine like terms: 40.9 + -27.8 = 13.1 r = 13.1 Simplifying r = 13.1Subproblem 2
r + 27.8 = -40.9 Simplifying r + 27.8 = -40.9 Reorder the terms: 27.8 + r = -40.9 Solving 27.8 + r = -40.9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27.8' to each side of the equation. 27.8 + -27.8 + r = -40.9 + -27.8 Combine like terms: 27.8 + -27.8 = 0.0 0.0 + r = -40.9 + -27.8 r = -40.9 + -27.8 Combine like terms: -40.9 + -27.8 = -68.7 r = -68.7 Simplifying r = -68.7Solution
The solution to the problem is based on the solutions from the subproblems. r = {13.1, -68.7}
| Tpx-tq+m=r | | y-1/3=y/5-2/3 | | 53=-6(v-4)-(6v-5) | | x^2-8x-3x+40=40 | | -2x^2-4x+8=y | | Cos(4x)=-5/4 | | 29x-17y=11 | | -5-2(a-4)=13 | | Y=x^2+3x+7 | | h=4xf+60 | | 3c+3=12 | | 2(5b-3)=14 | | 3x^2+16x-270=0 | | (yz+9)(z-9)= | | 2x-10=6(3x+5) | | -3x+6=2(4-x) | | 0.5x+0.2(30)=0.3(x+20) | | 3h+3=5k+5 | | T(px-q)+m=r | | 3y=0-2y | | -3x-29=35 | | 2k+5-3k=11 | | 0.8x-16=0.2x+2 | | 3q-7=2 | | [7-4x]=2 | | -2m+8(4m-7)= | | y/5-2/5=1/3-y | | 5(x-1)-2(x+2)=x-6 | | 30x*30x+11x-30=0 | | 9+2x+3=-36 | | -(x+6)=x-6 | | 2x+8-5z=32 |