If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 40 = 0.04v2 + 1.1v Reorder the terms: 40 = 1.1v + 0.04v2 Solving 40 = 1.1v + 0.04v2 Solving for variable 'v'. Reorder the terms: 40 + -1.1v + -0.04v2 = 1.1v + -1.1v + 0.04v2 + -0.04v2 Combine like terms: 1.1v + -1.1v = 0.0 40 + -1.1v + -0.04v2 = 0.0 + 0.04v2 + -0.04v2 40 + -1.1v + -0.04v2 = 0.04v2 + -0.04v2 Combine like terms: 0.04v2 + -0.04v2 = 0.00 40 + -1.1v + -0.04v2 = 0.00 Begin completing the square. Divide all terms by -0.04 the coefficient of the squared term: Divide each side by '-0.04'. -1000 + 27.5v + v2 = 0 Move the constant term to the right: Add '1000' to each side of the equation. -1000 + 27.5v + 1000 + v2 = 0 + 1000 Reorder the terms: -1000 + 1000 + 27.5v + v2 = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + 27.5v + v2 = 0 + 1000 27.5v + v2 = 0 + 1000 Combine like terms: 0 + 1000 = 1000 27.5v + v2 = 1000 The v term is 27.5v. Take half its coefficient (13.75). Square it (189.0625) and add it to both sides. Add '189.0625' to each side of the equation. 27.5v + 189.0625 + v2 = 1000 + 189.0625 Reorder the terms: 189.0625 + 27.5v + v2 = 1000 + 189.0625 Combine like terms: 1000 + 189.0625 = 1189.0625 189.0625 + 27.5v + v2 = 1189.0625 Factor a perfect square on the left side: (v + 13.75)(v + 13.75) = 1189.0625 Calculate the square root of the right side: 34.48278556 Break this problem into two subproblems by setting (v + 13.75) equal to 34.48278556 and -34.48278556.Subproblem 1
v + 13.75 = 34.48278556 Simplifying v + 13.75 = 34.48278556 Reorder the terms: 13.75 + v = 34.48278556 Solving 13.75 + v = 34.48278556 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13.75' to each side of the equation. 13.75 + -13.75 + v = 34.48278556 + -13.75 Combine like terms: 13.75 + -13.75 = 0.00 0.00 + v = 34.48278556 + -13.75 v = 34.48278556 + -13.75 Combine like terms: 34.48278556 + -13.75 = 20.73278556 v = 20.73278556 Simplifying v = 20.73278556Subproblem 2
v + 13.75 = -34.48278556 Simplifying v + 13.75 = -34.48278556 Reorder the terms: 13.75 + v = -34.48278556 Solving 13.75 + v = -34.48278556 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13.75' to each side of the equation. 13.75 + -13.75 + v = -34.48278556 + -13.75 Combine like terms: 13.75 + -13.75 = 0.00 0.00 + v = -34.48278556 + -13.75 v = -34.48278556 + -13.75 Combine like terms: -34.48278556 + -13.75 = -48.23278556 v = -48.23278556 Simplifying v = -48.23278556Solution
The solution to the problem is based on the solutions from the subproblems. v = {20.73278556, -48.23278556}
| 18-3y=57 | | -2(5x+9)=-48 | | m-2(m+3)=1-(m+7) | | 4y+2y+10=34 | | 2f+8-t=-3 | | 6z-2=7z-2 | | x-.08=8.22 | | 2(5x-1)-2x=6 | | -9y+90=-5y-10 | | 11a=-77 | | 29m=203 | | 11a=-7 | | (3x-2)(x-4)(x-6)=0 | | -12r=132 | | 5*-9+2=6*-9+11 | | 1/2(z-5)=20 | | 5*1+2=6*1+11 | | x^3-16x^2+55x+72=0 | | -7(-5x+6)=-182 | | -14v=-28 | | 20m^2-39m+18=0 | | 6(1x+9)=48 | | 20m^4-39m+18=0 | | 4x+4-3x=25 | | 2x-5x+6.3=24.4 | | 3x+8=2+4 | | (Y+1)*y+(Y+1)=36 | | -5(t-4)+9t=6t-3 | | 4.5x=8 | | 16+27i=4x-3yi | | x^2+.06x-.6=0 | | (x-3)2=-12 |