If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying a2 + 11a = -1 Reorder the terms: 11a + a2 = -1 Solving 11a + a2 = -1 Solving for variable 'a'. Reorder the terms: 1 + 11a + a2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 11a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + 11a + -1 + a2 = 0 + -1 Reorder the terms: 1 + -1 + 11a + a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11a + a2 = 0 + -1 11a + a2 = 0 + -1 Combine like terms: 0 + -1 = -1 11a + a2 = -1 The a term is 11a. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11a + 30.25 + a2 = -1 + 30.25 Reorder the terms: 30.25 + 11a + a2 = -1 + 30.25 Combine like terms: -1 + 30.25 = 29.25 30.25 + 11a + a2 = 29.25 Factor a perfect square on the left side: (a + 5.5)(a + 5.5) = 29.25 Calculate the square root of the right side: 5.408326913 Break this problem into two subproblems by setting (a + 5.5) equal to 5.408326913 and -5.408326913.Subproblem 1
a + 5.5 = 5.408326913 Simplifying a + 5.5 = 5.408326913 Reorder the terms: 5.5 + a = 5.408326913 Solving 5.5 + a = 5.408326913 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + a = 5.408326913 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + a = 5.408326913 + -5.5 a = 5.408326913 + -5.5 Combine like terms: 5.408326913 + -5.5 = -0.091673087 a = -0.091673087 Simplifying a = -0.091673087Subproblem 2
a + 5.5 = -5.408326913 Simplifying a + 5.5 = -5.408326913 Reorder the terms: 5.5 + a = -5.408326913 Solving 5.5 + a = -5.408326913 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + a = -5.408326913 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + a = -5.408326913 + -5.5 a = -5.408326913 + -5.5 Combine like terms: -5.408326913 + -5.5 = -10.908326913 a = -10.908326913 Simplifying a = -10.908326913Solution
The solution to the problem is based on the solutions from the subproblems. a = {-0.091673087, -10.908326913}
| 0.333333333x=18 | | -36-2=13-9x | | w(w+2)=168 | | -2x+y=-19 | | 7(1+7x)=350 | | 0.2x=6 | | 4g^2-3g-2=0 | | 0.25x=-12 | | -m^2+m-2=-2m^2 | | 2xz=4x+6yx | | 4c^2-15c-25=0 | | 7x=100 | | k^2+10k+21=0 | | 3(40+20)=40x | | m^2+5m=3 | | 7(1-4m)=-147 | | 3(x+1)-4=1-x | | x=200 | | 5(2x+1)=12 | | -35=7x | | 7n-2=-51 | | 6x-5=7x | | -12-9x=-8x | | -9=z+40 | | 5y^2-5y-30= | | 20-6x=-5x | | 4*2x+12-2*6x-3= | | 58=10-6k | | 2(2x-3)-6(x-2)=-2(x-4)-1 | | 28=4(n+15) | | 3g+5=7+4 | | 4w^2-42w+20=0 |