If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + 3r = 32400 Reorder the terms: 3r + r2 = 32400 Solving 3r + r2 = 32400 Solving for variable 'r'. Reorder the terms: -32400 + 3r + r2 = 32400 + -32400 Combine like terms: 32400 + -32400 = 0 -32400 + 3r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '32400' to each side of the equation. -32400 + 3r + 32400 + r2 = 0 + 32400 Reorder the terms: -32400 + 32400 + 3r + r2 = 0 + 32400 Combine like terms: -32400 + 32400 = 0 0 + 3r + r2 = 0 + 32400 3r + r2 = 0 + 32400 Combine like terms: 0 + 32400 = 32400 3r + r2 = 32400 The r term is 3r. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3r + 2.25 + r2 = 32400 + 2.25 Reorder the terms: 2.25 + 3r + r2 = 32400 + 2.25 Combine like terms: 32400 + 2.25 = 32402.25 2.25 + 3r + r2 = 32402.25 Factor a perfect square on the left side: (r + 1.5)(r + 1.5) = 32402.25 Calculate the square root of the right side: 180.006249891 Break this problem into two subproblems by setting (r + 1.5) equal to 180.006249891 and -180.006249891.Subproblem 1
r + 1.5 = 180.006249891 Simplifying r + 1.5 = 180.006249891 Reorder the terms: 1.5 + r = 180.006249891 Solving 1.5 + r = 180.006249891 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + r = 180.006249891 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + r = 180.006249891 + -1.5 r = 180.006249891 + -1.5 Combine like terms: 180.006249891 + -1.5 = 178.506249891 r = 178.506249891 Simplifying r = 178.506249891Subproblem 2
r + 1.5 = -180.006249891 Simplifying r + 1.5 = -180.006249891 Reorder the terms: 1.5 + r = -180.006249891 Solving 1.5 + r = -180.006249891 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + r = -180.006249891 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + r = -180.006249891 + -1.5 r = -180.006249891 + -1.5 Combine like terms: -180.006249891 + -1.5 = -181.506249891 r = -181.506249891 Simplifying r = -181.506249891Solution
The solution to the problem is based on the solutions from the subproblems. r = {178.506249891, -181.506249891}
| 4(3x+8)=2(x+10) | | 2(2u+7)=47 | | 0=4x^2+x-3 | | 3.4y+4.46=6.6y-2.9 | | 1.3x+2.45y=7 | | 70t+10=5t+40+5t-30 | | 8(4x-10)=7x-2 | | 20x+35=-22+17 | | 6x+10=9x-7 | | 2.68+2.04=-1.02+6.1 | | 9=-3/2w | | 7x+15+7x+15+2x+2x=24 | | 0.2x-0.7x=11 | | (-3/8)s=-12 | | 22-(6+2)=4 | | 9(7x-3)=3x-4 | | 6+8x-5x-3+9=1x+1x+3-7 | | 20+2=3x | | -x+y-2z=4 | | x+0.10x=650.10 | | 5x+8+3x+3x+5x+8=48 | | 4p+9=18+3p | | 5(x-2)-3=-3(x-4) | | X+52+x+114=158 | | (-3/5)r=-12 | | 16m^2+1=0 | | 2.5k-1.5k=14 | | 125+64x^3=0 | | 7x-40=-68 | | 8(x+9)+6=8x+9 | | 3-2+1=21 | | x-2y+3z=-7 |