If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2s2 + 9s + 1 = 0 Reorder the terms: 1 + 9s + 2s2 = 0 Solving 1 + 9s + 2s2 = 0 Solving for variable 's'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.5 + 4.5s + s2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 4.5s + -0.5 + s2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + 4.5s + s2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 4.5s + s2 = 0 + -0.5 4.5s + s2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 4.5s + s2 = -0.5 The s term is 4.5s. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5s + 5.0625 + s2 = -0.5 + 5.0625 Reorder the terms: 5.0625 + 4.5s + s2 = -0.5 + 5.0625 Combine like terms: -0.5 + 5.0625 = 4.5625 5.0625 + 4.5s + s2 = 4.5625 Factor a perfect square on the left side: (s + 2.25)(s + 2.25) = 4.5625 Calculate the square root of the right side: 2.136000936 Break this problem into two subproblems by setting (s + 2.25) equal to 2.136000936 and -2.136000936.Subproblem 1
s + 2.25 = 2.136000936 Simplifying s + 2.25 = 2.136000936 Reorder the terms: 2.25 + s = 2.136000936 Solving 2.25 + s = 2.136000936 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + s = 2.136000936 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + s = 2.136000936 + -2.25 s = 2.136000936 + -2.25 Combine like terms: 2.136000936 + -2.25 = -0.113999064 s = -0.113999064 Simplifying s = -0.113999064Subproblem 2
s + 2.25 = -2.136000936 Simplifying s + 2.25 = -2.136000936 Reorder the terms: 2.25 + s = -2.136000936 Solving 2.25 + s = -2.136000936 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-2.25' to each side of the equation. 2.25 + -2.25 + s = -2.136000936 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + s = -2.136000936 + -2.25 s = -2.136000936 + -2.25 Combine like terms: -2.136000936 + -2.25 = -4.386000936 s = -4.386000936 Simplifying s = -4.386000936Solution
The solution to the problem is based on the solutions from the subproblems. s = {-0.113999064, -4.386000936}
| -5r+7r=-4 | | 5/6*3/4-1/5 | | 2s^2+9s+2=0 | | 0,8x-12,7=0,3+0,7x | | 5/6X3/4-1/5 | | X=x+111 | | 5x+64=12x-8 | | 15=0.5 | | -8(2t+8)=-112 | | 7n-2-8=-24 | | (4a^3-2a+1)-(a^3-2a+3)= | | P-(-20)=13 | | 4x+7-6x=5-4x+4 | | 4(f-10)=-28 | | 8=m+1.9 | | 2-(x+6)+3=-11x+4(x+4) | | y=2x+(-5) | | z/10-3=6 | | 6=t+15-5 | | 12+5x-8=12x-10 | | 31=13+n | | 5-I/3-7i | | -10(s+2)=-9 | | 7x^2+34x=5 | | y+5=3.2(x-0) | | 2x^2+24x=-10 | | 5=2+8m+3 | | 9[k-81]=90 | | 5(7a-8)=-250 | | x^4-18x^2+8x-48=0 | | (5x+2)(3x-2)-(3x-2)(3x-2)=27 | | 23=-8a+6-7 |