If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3668.8388 = 6.28r2 + 253.712r Reorder the terms: 3668.8388 = 253.712r + 6.28r2 Solving 3668.8388 = 253.712r + 6.28r2 Solving for variable 'r'. Reorder the terms: 3668.8388 + -253.712r + -6.28r2 = 253.712r + -253.712r + 6.28r2 + -6.28r2 Combine like terms: 253.712r + -253.712r = 0.000 3668.8388 + -253.712r + -6.28r2 = 0.000 + 6.28r2 + -6.28r2 3668.8388 + -253.712r + -6.28r2 = 6.28r2 + -6.28r2 Combine like terms: 6.28r2 + -6.28r2 = 0.00 3668.8388 + -253.712r + -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'. -584.21 + 40.4r + r2 = 0 Move the constant term to the right: Add '584.21' to each side of the equation. -584.21 + 40.4r + 584.21 + r2 = 0 + 584.21 Reorder the terms: -584.21 + 584.21 + 40.4r + r2 = 0 + 584.21 Combine like terms: -584.21 + 584.21 = 0.00 0.00 + 40.4r + r2 = 0 + 584.21 40.4r + r2 = 0 + 584.21 Combine like terms: 0 + 584.21 = 584.21 40.4r + r2 = 584.21 The r term is 40.4r. Take half its coefficient (20.2). Square it (408.04) and add it to both sides. Add '408.04' to each side of the equation. 40.4r + 408.04 + r2 = 584.21 + 408.04 Reorder the terms: 408.04 + 40.4r + r2 = 584.21 + 408.04 Combine like terms: 584.21 + 408.04 = 992.25 408.04 + 40.4r + r2 = 992.25 Factor a perfect square on the left side: (r + 20.2)(r + 20.2) = 992.25 Calculate the square root of the right side: 31.5 Break this problem into two subproblems by setting (r + 20.2) equal to 31.5 and -31.5.Subproblem 1
r + 20.2 = 31.5 Simplifying r + 20.2 = 31.5 Reorder the terms: 20.2 + r = 31.5 Solving 20.2 + r = 31.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20.2' to each side of the equation. 20.2 + -20.2 + r = 31.5 + -20.2 Combine like terms: 20.2 + -20.2 = 0.0 0.0 + r = 31.5 + -20.2 r = 31.5 + -20.2 Combine like terms: 31.5 + -20.2 = 11.3 r = 11.3 Simplifying r = 11.3Subproblem 2
r + 20.2 = -31.5 Simplifying r + 20.2 = -31.5 Reorder the terms: 20.2 + r = -31.5 Solving 20.2 + r = -31.5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20.2' to each side of the equation. 20.2 + -20.2 + r = -31.5 + -20.2 Combine like terms: 20.2 + -20.2 = 0.0 0.0 + r = -31.5 + -20.2 r = -31.5 + -20.2 Combine like terms: -31.5 + -20.2 = -51.7 r = -51.7 Simplifying r = -51.7Solution
The solution to the problem is based on the solutions from the subproblems. r = {11.3, -51.7}
| 39=36+c | | 13x-15=22x+9 | | k/3=5/4 | | y=(9x+1)(x-8) | | 7=1-5a-a | | -16x^2-8x+68=0 | | 2.3x+25=5.8x+11 | | 6x^2+27x+12= | | m-26=15 | | 3m+6=16 | | 5x^2+10x-6=3-2x | | 8343.8592=1879.5412+108.644h | | 20f=20 | | 12/x=Sin63 | | 4b-3-6b-9= | | z^2+(3+2i)z+1+3i=0 | | 2*sinx+3*cosx-1=0 | | 19+3k=76 | | 5x+0.25x=18.9 | | 9(6-2x)=2(2-7x) | | 3(5+h)-2(3h+5)= | | 580.586=116.1172+27.004h | | -2x+68=10 | | =-6m^2+5(-6m) | | 5y+9x-3y+2x= | | 83=-5r+3(5r+1) | | h/5=4.1 | | 0=-x^2-2x-4 | | 3=(x-4)/5 | | 76.5=8.5h | | 7.5(x-1)=0.5x+48.5 | | X+27=.5(180-x) |