If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 502.4 = 12(3.141592654)(r) + (3.141592654)(r2) Multiply 12 * 3.141592654 502.4 = 37.69911185r + (3.141592654)(r2) Solving 502.4 = 37.69911185r + 3.141592654r2 Solving for variable 'r'. Reorder the terms: 502.4 + -37.69911185r + -3.141592654r2 = 37.69911185r + -37.69911185r + 3.141592654r2 + -3.141592654r2 Combine like terms: 37.69911185r + -37.69911185r = 0.00000000 502.4 + -37.69911185r + -3.141592654r2 = 0.00000000 + 3.141592654r2 + -3.141592654r2 502.4 + -37.69911185r + -3.141592654r2 = 3.141592654r2 + -3.141592654r2 Combine like terms: 3.141592654r2 + -3.141592654r2 = 0.000000000 502.4 + -37.69911185r + -3.141592654r2 = 0.000000000 Begin completing the square. Divide all terms by -3.141592654 the coefficient of the squared term: Divide each side by '-3.141592654'. -159.9188868 + 12r + r2 = 0 Move the constant term to the right: Add '159.9188868' to each side of the equation. -159.9188868 + 12r + 159.9188868 + r2 = 0 + 159.9188868 Reorder the terms: -159.9188868 + 159.9188868 + 12r + r2 = 0 + 159.9188868 Combine like terms: -159.9188868 + 159.9188868 = 0.0000000 0.0000000 + 12r + r2 = 0 + 159.9188868 12r + r2 = 0 + 159.9188868 Combine like terms: 0 + 159.9188868 = 159.9188868 12r + r2 = 159.9188868 The r term is 12r. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12r + 36 + r2 = 159.9188868 + 36 Reorder the terms: 36 + 12r + r2 = 159.9188868 + 36 Combine like terms: 159.9188868 + 36 = 195.9188868 36 + 12r + r2 = 195.9188868 Factor a perfect square on the left side: (r + 6)(r + 6) = 195.9188868 Calculate the square root of the right side: 13.9971028 Break this problem into two subproblems by setting (r + 6) equal to 13.9971028 and -13.9971028.Subproblem 1
r + 6 = 13.9971028 Simplifying r + 6 = 13.9971028 Reorder the terms: 6 + r = 13.9971028 Solving 6 + r = 13.9971028 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r = 13.9971028 + -6 Combine like terms: 6 + -6 = 0 0 + r = 13.9971028 + -6 r = 13.9971028 + -6 Combine like terms: 13.9971028 + -6 = 7.9971028 r = 7.9971028 Simplifying r = 7.9971028Subproblem 2
r + 6 = -13.9971028 Simplifying r + 6 = -13.9971028 Reorder the terms: 6 + r = -13.9971028 Solving 6 + r = -13.9971028 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r = -13.9971028 + -6 Combine like terms: 6 + -6 = 0 0 + r = -13.9971028 + -6 r = -13.9971028 + -6 Combine like terms: -13.9971028 + -6 = -19.9971028 r = -19.9971028 Simplifying r = -19.9971028Solution
The solution to the problem is based on the solutions from the subproblems. r = {7.9971028, -19.9971028}
| 4p^2q+q^3-q^2=0 | | 502.4=12(pi)(r)+(pi)(r^2) | | 4-2n=5n+n | | 33=P(0.06)3 | | 6+2n=4n-3n | | 8v+1=7v-2-0 | | 9-(4y-9)=8-5y | | -21c+19=21c-1 | | -36+3x^2=0 | | 3x^2*x=108 | | 18=15-n+3 | | 0.5(6x+12)=1.3-(x+2) | | 6x-y=17 | | 2-2n=n+15 | | -20=10-6+n | | -16=5+n | | 6(3-2z)+13z-4= | | 4+3n=1-4n | | 36+p-4=p | | 3x-9=x+4 | | v(v+1)=272 | | 2-8v=2v+8 | | =6x^2+5xy-25y^2 | | 5m+1=3m+9 | | v(v+1)=132 | | 4t+20=15 | | 5p=1-21 | | 3n=6+15 | | -13j(4j-32)=507 | | -n-3n= | | 35k^2-22k-3=0 | | 7k^2-6k+3=0 |