If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying r2 + 17r + 6 = 0 Reorder the terms: 6 + 17r + r2 = 0 Solving 6 + 17r + r2 = 0 Solving for variable 'r'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 17r + -6 + r2 = 0 + -6 Reorder the terms: 6 + -6 + 17r + r2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 17r + r2 = 0 + -6 17r + r2 = 0 + -6 Combine like terms: 0 + -6 = -6 17r + r2 = -6 The r term is 17r. Take half its coefficient (8.5). Square it (72.25) and add it to both sides. Add '72.25' to each side of the equation. 17r + 72.25 + r2 = -6 + 72.25 Reorder the terms: 72.25 + 17r + r2 = -6 + 72.25 Combine like terms: -6 + 72.25 = 66.25 72.25 + 17r + r2 = 66.25 Factor a perfect square on the left side: (r + 8.5)(r + 8.5) = 66.25 Calculate the square root of the right side: 8.139410298 Break this problem into two subproblems by setting (r + 8.5) equal to 8.139410298 and -8.139410298.Subproblem 1
r + 8.5 = 8.139410298 Simplifying r + 8.5 = 8.139410298 Reorder the terms: 8.5 + r = 8.139410298 Solving 8.5 + r = 8.139410298 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + r = 8.139410298 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + r = 8.139410298 + -8.5 r = 8.139410298 + -8.5 Combine like terms: 8.139410298 + -8.5 = -0.360589702 r = -0.360589702 Simplifying r = -0.360589702Subproblem 2
r + 8.5 = -8.139410298 Simplifying r + 8.5 = -8.139410298 Reorder the terms: 8.5 + r = -8.139410298 Solving 8.5 + r = -8.139410298 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -8.5 + r = -8.139410298 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + r = -8.139410298 + -8.5 r = -8.139410298 + -8.5 Combine like terms: -8.139410298 + -8.5 = -16.639410298 r = -16.639410298 Simplifying r = -16.639410298Solution
The solution to the problem is based on the solutions from the subproblems. r = {-0.360589702, -16.639410298}
| (m+1)x^2+4mx+m+1=0 | | x^2+y^2-4xy+6x-4y-2=0 | | 7x^2-77x+168=0 | | (4x+3)*5=9x-17 | | 2x+3y+5z=7 | | -2(w-3)=9w+28 | | 5a+2-5a=3 | | 15r^2+4rs-3s^2=0 | | Kx^2-kx+1=0 | | 6+2=X+2 | | 27r^2-66rs+24s^2=0 | | 2x^2-11xy-6y^2=0 | | 3(x-4)-2(3x+4)-2(3x+4)=4(3-x)+5x+4 | | x=18+4y | | 5k=2k+12 | | 3(x-4)-2(3x+4)-2(3x+4)-2(3x+4)=4(3-x)+5x+4 | | 5(x-9)-6=21 | | 34.66*x-2.52*x*lnx=31090 | | 36x^2-468+1440=0 | | -2(x+3)=3(x+4)+4 | | -6(w-1)+8w=2(w-3) | | 6y^2-42y+54=0 | | 5x/8=6/12 | | 2+8x=-19-x | | 7(5x+3)-9=35x+12 | | 3x+7-x=-9-x | | 24x+27=-36-10 | | 14+t=3.22 | | 3/7(-14)-4= | | -3(6)+9= | | 7n^4-26n^2-8=0 | | -11/22 |