If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 180 = 0.05s2 + 1.1s Reorder the terms: 180 = 1.1s + 0.05s2 Solving 180 = 1.1s + 0.05s2 Solving for variable 's'. Reorder the terms: 180 + -1.1s + -0.05s2 = 1.1s + -1.1s + 0.05s2 + -0.05s2 Combine like terms: 1.1s + -1.1s = 0.0 180 + -1.1s + -0.05s2 = 0.0 + 0.05s2 + -0.05s2 180 + -1.1s + -0.05s2 = 0.05s2 + -0.05s2 Combine like terms: 0.05s2 + -0.05s2 = 0.00 180 + -1.1s + -0.05s2 = 0.00 Begin completing the square. Divide all terms by -0.05 the coefficient of the squared term: Divide each side by '-0.05'. -3600 + 22s + s2 = 0 Move the constant term to the right: Add '3600' to each side of the equation. -3600 + 22s + 3600 + s2 = 0 + 3600 Reorder the terms: -3600 + 3600 + 22s + s2 = 0 + 3600 Combine like terms: -3600 + 3600 = 0 0 + 22s + s2 = 0 + 3600 22s + s2 = 0 + 3600 Combine like terms: 0 + 3600 = 3600 22s + s2 = 3600 The s term is 22s. Take half its coefficient (11). Square it (121) and add it to both sides. Add '121' to each side of the equation. 22s + 121 + s2 = 3600 + 121 Reorder the terms: 121 + 22s + s2 = 3600 + 121 Combine like terms: 3600 + 121 = 3721 121 + 22s + s2 = 3721 Factor a perfect square on the left side: (s + 11)(s + 11) = 3721 Calculate the square root of the right side: 61 Break this problem into two subproblems by setting (s + 11) equal to 61 and -61.Subproblem 1
s + 11 = 61 Simplifying s + 11 = 61 Reorder the terms: 11 + s = 61 Solving 11 + s = 61 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + s = 61 + -11 Combine like terms: 11 + -11 = 0 0 + s = 61 + -11 s = 61 + -11 Combine like terms: 61 + -11 = 50 s = 50 Simplifying s = 50Subproblem 2
s + 11 = -61 Simplifying s + 11 = -61 Reorder the terms: 11 + s = -61 Solving 11 + s = -61 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + s = -61 + -11 Combine like terms: 11 + -11 = 0 0 + s = -61 + -11 s = -61 + -11 Combine like terms: -61 + -11 = -72 s = -72 Simplifying s = -72Solution
The solution to the problem is based on the solutions from the subproblems. s = {50, -72}
| -10=-3x-7 | | -3(1)+4y=-3 | | -3x+4(0)=-3 | | 13-4x=5-13 | | cosx=3 | | 13-4=5-13 | | 3x^2+15x-6=0 | | 2(1)=3(1)-3 | | 12-x=249 | | 4-56=200 | | (5y^2-1)(5y^2+1)= | | 7-6t=3t-20 | | ln(2x)=9 | | (x-0.4)(x+0.4)= | | 8/9x3/2 | | (x-0.6)(x+0.6)= | | 8k+35=3 | | 3a^2-36a+86=0 | | (0x-0.8)(x+0.8)= | | 4-2x/x=-3/2 | | (5x-3)(x+9)= | | 2u-16=22 | | 2k^2-5k=0 | | 23/28-5/7 | | 5x^3+18x^2+21x+10=0 | | f(x)=3x^2+6x+10 | | (5y+9)(2y+7)= | | 10*2-10-90= | | 7(n-3)=2(2n-3) | | 5w^2-5w-17=0 | | q(5y+9)(2y+7)= | | (5w-3)(4w+2w+5)= |