If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying S2 = 9 + S(1 + -2S) S2 = 9 + (1 * S + -2S * S) S2 = 9 + (1S + -2S2) Solving S2 = 9 + 1S + -2S2 Solving for variable 'S'. Reorder the terms: -9 + -1S + S2 + 2S2 = 9 + 1S + -2S2 + -9 + -1S + 2S2 Combine like terms: S2 + 2S2 = 3S2 -9 + -1S + 3S2 = 9 + 1S + -2S2 + -9 + -1S + 2S2 Reorder the terms: -9 + -1S + 3S2 = 9 + -9 + 1S + -1S + -2S2 + 2S2 Combine like terms: 9 + -9 = 0 -9 + -1S + 3S2 = 0 + 1S + -1S + -2S2 + 2S2 -9 + -1S + 3S2 = 1S + -1S + -2S2 + 2S2 Combine like terms: 1S + -1S = 0 -9 + -1S + 3S2 = 0 + -2S2 + 2S2 -9 + -1S + 3S2 = -2S2 + 2S2 Combine like terms: -2S2 + 2S2 = 0 -9 + -1S + 3S2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -3 + -0.3333333333S + S2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + -0.3333333333S + 3 + S2 = 0 + 3 Reorder the terms: -3 + 3 + -0.3333333333S + S2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -0.3333333333S + S2 = 0 + 3 -0.3333333333S + S2 = 0 + 3 Combine like terms: 0 + 3 = 3 -0.3333333333S + S2 = 3 The S term is -0.3333333333S. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333S + 0.02777777779 + S2 = 3 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333S + S2 = 3 + 0.02777777779 Combine like terms: 3 + 0.02777777779 = 3.02777777779 0.02777777779 + -0.3333333333S + S2 = 3.02777777779 Factor a perfect square on the left side: (S + -0.1666666667)(S + -0.1666666667) = 3.02777777779 Calculate the square root of the right side: 1.740051085 Break this problem into two subproblems by setting (S + -0.1666666667) equal to 1.740051085 and -1.740051085.Subproblem 1
S + -0.1666666667 = 1.740051085 Simplifying S + -0.1666666667 = 1.740051085 Reorder the terms: -0.1666666667 + S = 1.740051085 Solving -0.1666666667 + S = 1.740051085 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + S = 1.740051085 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + S = 1.740051085 + 0.1666666667 S = 1.740051085 + 0.1666666667 Combine like terms: 1.740051085 + 0.1666666667 = 1.9067177517 S = 1.9067177517 Simplifying S = 1.9067177517Subproblem 2
S + -0.1666666667 = -1.740051085 Simplifying S + -0.1666666667 = -1.740051085 Reorder the terms: -0.1666666667 + S = -1.740051085 Solving -0.1666666667 + S = -1.740051085 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '0.1666666667' to each side of the equation. -0.1666666667 + 0.1666666667 + S = -1.740051085 + 0.1666666667 Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000 0.0000000000 + S = -1.740051085 + 0.1666666667 S = -1.740051085 + 0.1666666667 Combine like terms: -1.740051085 + 0.1666666667 = -1.5733844183 S = -1.5733844183 Simplifying S = -1.5733844183Solution
The solution to the problem is based on the solutions from the subproblems. S = {1.9067177517, -1.5733844183}
| 4x+6+3x=5x+7+2x | | 6x-14+2x+5=2x-1 | | 8t^2+61t=-120 | | 2(2d+3)=6(d+12) | | 30y^2+23y-40=0 | | -6a=-6a | | -5y+2+4y-3=-1 | | 1x=1(6x-1) | | 9p-10=8 | | z+2=2z^2 | | 175000+550x=1680x+35000 | | 2x+4=-18-9x | | 4x^2-x+12=6x+9 | | 3x+-12=2(-4+9)-3 | | 2x*16=3(x+2) | | k-3k=6k+-8k | | -7(1+6n)=-343 | | 3(2x-10)+5=6(x+1) | | -8x+4y=28 | | 10=9+9x | | 2a-8=2a-4 | | 8-2x=3x-2 | | 8s^2+20s=12 | | 19x-7=2+16x | | 3x-4=5+12 | | -2p+6=-28 | | .67m-.6m=4 | | 5x+1=x+15 | | (k/12)+3=2 | | .4x-.6=1.3x+1.2 | | 35000+1680x= | | x^2+7-44=0 |