If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 6.28r2 + 401.92r + -285.9912 Reorder the terms: 0 = -285.9912 + 401.92r + 6.28r2 Solving 0 = -285.9912 + 401.92r + 6.28r2 Solving for variable 'r'. Combine like terms: 0 + 285.9912 = 285.9912 285.9912 + -401.92r + -6.28r2 = -285.9912 + 401.92r + 6.28r2 + 285.9912 + -401.92r + -6.28r2 Reorder the terms: 285.9912 + -401.92r + -6.28r2 = -285.9912 + 285.9912 + 401.92r + -401.92r + 6.28r2 + -6.28r2 Combine like terms: -285.9912 + 285.9912 = 0.0000 285.9912 + -401.92r + -6.28r2 = 0.0000 + 401.92r + -401.92r + 6.28r2 + -6.28r2 285.9912 + -401.92r + -6.28r2 = 401.92r + -401.92r + 6.28r2 + -6.28r2 Combine like terms: 401.92r + -401.92r = 0.00 285.9912 + -401.92r + -6.28r2 = 0.00 + 6.28r2 + -6.28r2 285.9912 + -401.92r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 285.9912 + -401.92r + -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'. -45.54 + 64r + r2 = 0 Move the constant term to the right: Add '45.54' to each side of the equation. -45.54 + 64r + 45.54 + r2 = 0 + 45.54 Reorder the terms: -45.54 + 45.54 + 64r + r2 = 0 + 45.54 Combine like terms: -45.54 + 45.54 = 0.00 0.00 + 64r + r2 = 0 + 45.54 64r + r2 = 0 + 45.54 Combine like terms: 0 + 45.54 = 45.54 64r + r2 = 45.54 The r term is 64r. Take half its coefficient (32). Square it (1024) and add it to both sides. Add '1024' to each side of the equation. 64r + 1024 + r2 = 45.54 + 1024 Reorder the terms: 1024 + 64r + r2 = 45.54 + 1024 Combine like terms: 45.54 + 1024 = 1069.54 1024 + 64r + r2 = 1069.54 Factor a perfect square on the left side: (r + 32)(r + 32) = 1069.54 Calculate the square root of the right side: 32.703822407 Break this problem into two subproblems by setting (r + 32) equal to 32.703822407 and -32.703822407.Subproblem 1
r + 32 = 32.703822407 Simplifying r + 32 = 32.703822407 Reorder the terms: 32 + r = 32.703822407 Solving 32 + r = 32.703822407 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + r = 32.703822407 + -32 Combine like terms: 32 + -32 = 0 0 + r = 32.703822407 + -32 r = 32.703822407 + -32 Combine like terms: 32.703822407 + -32 = 0.703822407 r = 0.703822407 Simplifying r = 0.703822407Subproblem 2
r + 32 = -32.703822407 Simplifying r + 32 = -32.703822407 Reorder the terms: 32 + r = -32.703822407 Solving 32 + r = -32.703822407 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + r = -32.703822407 + -32 Combine like terms: 32 + -32 = 0 0 + r = -32.703822407 + -32 r = -32.703822407 + -32 Combine like terms: -32.703822407 + -32 = -64.703822407 r = -64.703822407 Simplifying r = -64.703822407Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.703822407, -64.703822407}
| 6r^2+14r+4=0 | | k^2-12k-33=8 | | 1841.6728=464.4688+54.008H | | 3n^2+10n=125 | | 6x-4x+3=5 | | 18t^3-24t^2+8t= | | 8m-19=27 | | 4q-3p-180=0 | | 3234.1372=6.28r^2+629.256r | | 441/3 | | e-52=2e-9 | | Log(x+2)=4 | | -8a-9=a-423 | | 9y^2+4=15y | | 2676.222=127.17+28.26H | | 5b-4=12-3b | | 15x-10=5x+20 | | -4b+7=b+232 | | 0=r^2-110.25 | | 5x+3(x+2)+4x-7x=-3x+4-(3+2x) | | 3x+6-x=24 | | 3x+1=12.5 | | x-109=9x+3 | | 7+91x=39x+55 | | 2(x/3)+4=x+12 | | 8y+3=4y+35 | | 3a^2+13a+14= | | -4(-5v-3u+6)= | | 5x-40=-34 | | 2a^2-3a-9= | | x^5-49x=0 | | 8*40x+5=13+5x |