If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 50r2 + 105r + 2 = 0 Reorder the terms: 2 + 105r + 50r2 = 0 Solving 2 + 105r + 50r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 50 the coefficient of the squared term: Divide each side by '50'. 0.04 + 2.1r + r2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + 2.1r + -0.04 + r2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + 2.1r + r2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + 2.1r + r2 = 0 + -0.04 2.1r + r2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 2.1r + r2 = -0.04 The r term is 2.1r. Take half its coefficient (1.05). Square it (1.1025) and add it to both sides. Add '1.1025' to each side of the equation. 2.1r + 1.1025 + r2 = -0.04 + 1.1025 Reorder the terms: 1.1025 + 2.1r + r2 = -0.04 + 1.1025 Combine like terms: -0.04 + 1.1025 = 1.0625 1.1025 + 2.1r + r2 = 1.0625 Factor a perfect square on the left side: (r + 1.05)(r + 1.05) = 1.0625 Calculate the square root of the right side: 1.030776406 Break this problem into two subproblems by setting (r + 1.05) equal to 1.030776406 and -1.030776406.Subproblem 1
r + 1.05 = 1.030776406 Simplifying r + 1.05 = 1.030776406 Reorder the terms: 1.05 + r = 1.030776406 Solving 1.05 + r = 1.030776406 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + r = 1.030776406 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + r = 1.030776406 + -1.05 r = 1.030776406 + -1.05 Combine like terms: 1.030776406 + -1.05 = -0.019223594 r = -0.019223594 Simplifying r = -0.019223594Subproblem 2
r + 1.05 = -1.030776406 Simplifying r + 1.05 = -1.030776406 Reorder the terms: 1.05 + r = -1.030776406 Solving 1.05 + r = -1.030776406 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1.05' to each side of the equation. 1.05 + -1.05 + r = -1.030776406 + -1.05 Combine like terms: 1.05 + -1.05 = 0.00 0.00 + r = -1.030776406 + -1.05 r = -1.030776406 + -1.05 Combine like terms: -1.030776406 + -1.05 = -2.080776406 r = -2.080776406 Simplifying r = -2.080776406Solution
The solution to the problem is based on the solutions from the subproblems. r = {-0.019223594, -2.080776406}
| 7-6x=0 | | 7-6x= | | A+7+3a-4= | | 4p^2=16p | | 2x^2-2x^2=-7+7x | | 7-w=3.4 | | 7+w=3.4 | | -10(n+1)+20(2n+13)=7 | | (2/2e-6)² | | M(4m+8)=60 | | 4m*3n+5m-3mn-8m= | | 4x+5x+y= | | 2x+3x-20=-5x+16 | | 2x+3x-20=-5x+15 | | 5y+3=3y+101 | | x^2+16x-68=0 | | (4-3x)=2 | | 3x+5=5x+2x+4 | | -5(3p+2)+5(2p+3)=-31 | | 2x^2+3kx+6=0 | | 64(a^6b^4c^2)^(-1/2) | | 28xy-16yx-9xy= | | (4w+3)(w+2)=0 | | 28xy-16yx-9x= | | 4a=7a-18 | | A+b+y+g+e=gb | | 2n+19=2n+18+1 | | 2n+7=2(n+3)+1 | | 25x+6=6 | | 2n+19=2(n+9)+1 | | 2(3x+4)+5(6x+7)=64x+1 | | 2cos^3x+cos^2x-2cosx-1= |