If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying s2 + 12s + -29 = 10 Reorder the terms: -29 + 12s + s2 = 10 Solving -29 + 12s + s2 = 10 Solving for variable 's'. Reorder the terms: -29 + -10 + 12s + s2 = 10 + -10 Combine like terms: -29 + -10 = -39 -39 + 12s + s2 = 10 + -10 Combine like terms: 10 + -10 = 0 -39 + 12s + s2 = 0 Begin completing the square. Move the constant term to the right: Add '39' to each side of the equation. -39 + 12s + 39 + s2 = 0 + 39 Reorder the terms: -39 + 39 + 12s + s2 = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 12s + s2 = 0 + 39 12s + s2 = 0 + 39 Combine like terms: 0 + 39 = 39 12s + s2 = 39 The s term is 12s. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12s + 36 + s2 = 39 + 36 Reorder the terms: 36 + 12s + s2 = 39 + 36 Combine like terms: 39 + 36 = 75 36 + 12s + s2 = 75 Factor a perfect square on the left side: (s + 6)(s + 6) = 75 Calculate the square root of the right side: 8.660254038 Break this problem into two subproblems by setting (s + 6) equal to 8.660254038 and -8.660254038.Subproblem 1
s + 6 = 8.660254038 Simplifying s + 6 = 8.660254038 Reorder the terms: 6 + s = 8.660254038 Solving 6 + s = 8.660254038 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = 8.660254038 + -6 Combine like terms: 6 + -6 = 0 0 + s = 8.660254038 + -6 s = 8.660254038 + -6 Combine like terms: 8.660254038 + -6 = 2.660254038 s = 2.660254038 Simplifying s = 2.660254038Subproblem 2
s + 6 = -8.660254038 Simplifying s + 6 = -8.660254038 Reorder the terms: 6 + s = -8.660254038 Solving 6 + s = -8.660254038 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = -8.660254038 + -6 Combine like terms: 6 + -6 = 0 0 + s = -8.660254038 + -6 s = -8.660254038 + -6 Combine like terms: -8.660254038 + -6 = -14.660254038 s = -14.660254038 Simplifying s = -14.660254038Solution
The solution to the problem is based on the solutions from the subproblems. s = {2.660254038, -14.660254038}
| -16x^2=8x-5 | | n^2+n+1=0 | | s^2+12s-11=35 | | -12x-14=-110 | | 4x-5=3x+0 | | -32+6(3y+4)=-(-5y+38)+3x | | a/3+5=16 | | (0.31)x(2.7)= | | 8x^3=50x | | 4x^2=-24x-28 | | m^2+4x+3=0 | | lny=6 | | 3m-5=19 | | 2*b+1=5 | | 16x^2=52x | | 3x^2-6x+2=y | | g^2-16g+37=0 | | 6*b-1=-7 | | 16x^2=8x+2 | | 2x+2x=169 | | 13p+9q=93 | | g^2-10g+20=0 | | log(7)(x)+log(7)(x+6)=1 | | 2x+2y+3x+3y= | | f(x)=x^2+8x+11 | | g^2-16g+29=0 | | 6=-3+3 | | -9x^2=6x-5 | | g^2-10g+23=0 | | -6b+12=30 | | 3x+120+2y=360 | | x^3+2x^2+16x-40=0 |