If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3s2 + 9s + 1 = 0 Reorder the terms: 1 + 9s + 3s2 = 0 Solving 1 + 9s + 3s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.3333333333 + 3s + s2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 3s + -0.3333333333 + s2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 3s + s2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 3s + s2 = 0 + -0.3333333333 3s + s2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 3s + s2 = -0.3333333333 The s term is 3s. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3s + 2.25 + s2 = -0.3333333333 + 2.25 Reorder the terms: 2.25 + 3s + s2 = -0.3333333333 + 2.25 Combine like terms: -0.3333333333 + 2.25 = 1.9166666667 2.25 + 3s + s2 = 1.9166666667 Factor a perfect square on the left side: (s + 1.5)(s + 1.5) = 1.9166666667 Calculate the square root of the right side: 1.38443731 Break this problem into two subproblems by setting (s + 1.5) equal to 1.38443731 and -1.38443731.Subproblem 1
s + 1.5 = 1.38443731 Simplifying s + 1.5 = 1.38443731 Reorder the terms: 1.5 + s = 1.38443731 Solving 1.5 + s = 1.38443731 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + s = 1.38443731 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + s = 1.38443731 + -1.5 s = 1.38443731 + -1.5 Combine like terms: 1.38443731 + -1.5 = -0.11556269 s = -0.11556269 Simplifying s = -0.11556269Subproblem 2
s + 1.5 = -1.38443731 Simplifying s + 1.5 = -1.38443731 Reorder the terms: 1.5 + s = -1.38443731 Solving 1.5 + s = -1.38443731 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + s = -1.38443731 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + s = -1.38443731 + -1.5 s = -1.38443731 + -1.5 Combine like terms: -1.38443731 + -1.5 = -2.88443731 s = -2.88443731 Simplifying s = -2.88443731Solution
The solution to the problem is based on the solutions from the subproblems. s = {-0.11556269, -2.88443731}
| r^2-4r=32 | | 12-15(2x-3)=63 | | 3x-(1/2)=2x/(7/4) | | (4xy+3y^3)dx+(3x^2+5xy^2)dy=0 | | -7k+r=a-8y | | -7k+r=a-87 | | r=a+7k-8y | | ia(s^2+4s+1)+ib(-s^2-1)=-2 | | 9-5j=j-3 | | -5k+a=r-8y | | u-17=-12 | | 2a+5=9 | | 4u^2+17u=-4 | | 9(x+8)-58=6x+2 | | 256+6=h | | x+55*10=54 | | 320=0+4q+9q^2 | | 3(2k)+5=2L+1 | | x-34=45 | | 17x=9y | | -7k+a=r-8y | | x=6(2+[3(9-3)+(8+1)-4]) | | 4w+5=4w+7 | | 5x-54x= | | -2(c-20)=-2c-20 | | y-3=-2(x+4) | | -3(7x-8)=-21x+24 | | 4(2x-2)=8(x-2) | | 36.2+10.9(14.3-16.3)= | | 48+16=32t | | 2x^8-9x^6+17x^5=0 | | 2[3(2m+4)]-5m=-13-(-2) |