If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4s2 + 34s + -120 = 0 Reorder the terms: -120 + 34s + 4s2 = 0 Solving -120 + 34s + 4s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(-60 + 17s + 2s2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-60 + 17s + 2s2)' equal to zero and attempt to solve: Simplifying -60 + 17s + 2s2 = 0 Solving -60 + 17s + 2s2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -30 + 8.5s + s2 = 0 Move the constant term to the right: Add '30' to each side of the equation. -30 + 8.5s + 30 + s2 = 0 + 30 Reorder the terms: -30 + 30 + 8.5s + s2 = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 8.5s + s2 = 0 + 30 8.5s + s2 = 0 + 30 Combine like terms: 0 + 30 = 30 8.5s + s2 = 30 The s term is 8.5s. Take half its coefficient (4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. 8.5s + 18.0625 + s2 = 30 + 18.0625 Reorder the terms: 18.0625 + 8.5s + s2 = 30 + 18.0625 Combine like terms: 30 + 18.0625 = 48.0625 18.0625 + 8.5s + s2 = 48.0625 Factor a perfect square on the left side: (s + 4.25)(s + 4.25) = 48.0625 Calculate the square root of the right side: 6.932712312 Break this problem into two subproblems by setting (s + 4.25) equal to 6.932712312 and -6.932712312.Subproblem 1
s + 4.25 = 6.932712312 Simplifying s + 4.25 = 6.932712312 Reorder the terms: 4.25 + s = 6.932712312 Solving 4.25 + s = 6.932712312 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + s = 6.932712312 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + s = 6.932712312 + -4.25 s = 6.932712312 + -4.25 Combine like terms: 6.932712312 + -4.25 = 2.682712312 s = 2.682712312 Simplifying s = 2.682712312Subproblem 2
s + 4.25 = -6.932712312 Simplifying s + 4.25 = -6.932712312 Reorder the terms: 4.25 + s = -6.932712312 Solving 4.25 + s = -6.932712312 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + s = -6.932712312 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + s = -6.932712312 + -4.25 s = -6.932712312 + -4.25 Combine like terms: -6.932712312 + -4.25 = -11.182712312 s = -11.182712312 Simplifying s = -11.182712312Solution
The solution to the problem is based on the solutions from the subproblems. s = {2.682712312, -11.182712312}Solution
s = {2.682712312, -11.182712312}
| Area=4pi | | 5(3x+4)-2(4x-3)=40 | | -20x^2+35x+75=0 | | 12/15=w-3/5 | | s/5.3=2.6 | | (1+4y)(2y+3)= | | 2x*3y=29*(x+y) | | 12x+8=3600 | | 96/n=-16 | | 8/-20=10 | | (2x-3y+1)dx+(3x-2y+1)dy=0 | | 9d=99 | | r/12=-3 | | z+21=-3 | | 2x-5/3=2x-1 | | v-56=19 | | -9+q=0 | | x*(1.5/100)=30000 | | x*1.5/100=30000 | | 2/3(4x-1)-(4x-1/2-3x/2)=x/2-7/2 | | 4sin^3x-3sinx=0 | | 2/3(4x-1)-(4x-1/2-3x/2)= | | 2310=h+13c | | 2310=13c+h | | 2x^2-4x+3x^2-4x^2+3=0 | | 2500=6h+7c | | 36+a=3b+20 | | 3x-12=2(2x-5) | | 6(5-3)=5(2j-5) | | 7(3-i)=5(2-i) | | 3/2×2 | | 2h-3=4h+3 |