If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying s2 + 10s + 5 = 0 Reorder the terms: 5 + 10s + s2 = 0 Solving 5 + 10s + s2 = 0 Solving for variable 's'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 10s + -5 + s2 = 0 + -5 Reorder the terms: 5 + -5 + 10s + s2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10s + s2 = 0 + -5 10s + s2 = 0 + -5 Combine like terms: 0 + -5 = -5 10s + s2 = -5 The s term is 10s. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10s + 25 + s2 = -5 + 25 Reorder the terms: 25 + 10s + s2 = -5 + 25 Combine like terms: -5 + 25 = 20 25 + 10s + s2 = 20 Factor a perfect square on the left side: (s + 5)(s + 5) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (s + 5) equal to 4.472135955 and -4.472135955.Subproblem 1
s + 5 = 4.472135955 Simplifying s + 5 = 4.472135955 Reorder the terms: 5 + s = 4.472135955 Solving 5 + s = 4.472135955 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + s = 4.472135955 + -5 Combine like terms: 5 + -5 = 0 0 + s = 4.472135955 + -5 s = 4.472135955 + -5 Combine like terms: 4.472135955 + -5 = -0.527864045 s = -0.527864045 Simplifying s = -0.527864045Subproblem 2
s + 5 = -4.472135955 Simplifying s + 5 = -4.472135955 Reorder the terms: 5 + s = -4.472135955 Solving 5 + s = -4.472135955 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + s = -4.472135955 + -5 Combine like terms: 5 + -5 = 0 0 + s = -4.472135955 + -5 s = -4.472135955 + -5 Combine like terms: -4.472135955 + -5 = -9.472135955 s = -9.472135955 Simplifying s = -9.472135955Solution
The solution to the problem is based on the solutions from the subproblems. s = {-0.527864045, -9.472135955}
| 0=2t^2+5t+33 | | s^2-4*s+5=0 | | (n-8)(n^2+5n+4)=0 | | 4c^2=12c | | 9y^2-16=0 | | c^2=-20c-100 | | 6m^2+61m=-10 | | 5x-3x=22 | | 5n^2+23n+24=0 | | 23x^2-19x=0 | | x^4-21x^2-100=0 | | x^2-6x-4=0 | | x^2+10x+4=0 | | 10+x=25 | | 5x^2+16x+3=0 | | 6x+4-9x=12-14x+11x-8 | | 53-(3x+4)=3(x+7)+x | | -x=45 | | 8.2x-3.7x=72 | | -4w-8=-24 | | 8.2x-3.7=72 | | 0=16x^2+5184 | | 4(5x-2)=92 | | -3x+5=38 | | -x+5=38 | | 33.8s=169.0 | | 8r-12=-61+r | | 8.9-3.3j=-2.2j+2.3 | | (4v+1)(9-v)=0 | | 0=x^2-7x+5 | | -25+x=x-25 | | 12.6x-3.7x=160.2 |