If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -6z + -27 = 20 Reorder the terms: -27 + -6z + z2 = 20 Solving -27 + -6z + z2 = 20 Solving for variable 'z'. Reorder the terms: -27 + -20 + -6z + z2 = 20 + -20 Combine like terms: -27 + -20 = -47 -47 + -6z + z2 = 20 + -20 Combine like terms: 20 + -20 = 0 -47 + -6z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '47' to each side of the equation. -47 + -6z + 47 + z2 = 0 + 47 Reorder the terms: -47 + 47 + -6z + z2 = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -6z + z2 = 0 + 47 -6z + z2 = 0 + 47 Combine like terms: 0 + 47 = 47 -6z + z2 = 47 The z term is -6z. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6z + 9 + z2 = 47 + 9 Reorder the terms: 9 + -6z + z2 = 47 + 9 Combine like terms: 47 + 9 = 56 9 + -6z + z2 = 56 Factor a perfect square on the left side: (z + -3)(z + -3) = 56 Calculate the square root of the right side: 7.483314774 Break this problem into two subproblems by setting (z + -3) equal to 7.483314774 and -7.483314774.Subproblem 1
z + -3 = 7.483314774 Simplifying z + -3 = 7.483314774 Reorder the terms: -3 + z = 7.483314774 Solving -3 + z = 7.483314774 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + z = 7.483314774 + 3 Combine like terms: -3 + 3 = 0 0 + z = 7.483314774 + 3 z = 7.483314774 + 3 Combine like terms: 7.483314774 + 3 = 10.483314774 z = 10.483314774 Simplifying z = 10.483314774Subproblem 2
z + -3 = -7.483314774 Simplifying z + -3 = -7.483314774 Reorder the terms: -3 + z = -7.483314774 Solving -3 + z = -7.483314774 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + z = -7.483314774 + 3 Combine like terms: -3 + 3 = 0 0 + z = -7.483314774 + 3 z = -7.483314774 + 3 Combine like terms: -7.483314774 + 3 = -4.483314774 z = -4.483314774 Simplifying z = -4.483314774Solution
The solution to the problem is based on the solutions from the subproblems. z = {10.483314774, -4.483314774}
| 6-4y=5(y-3) | | 40=3n+4 | | 3x-28=-52+6x | | 3squaredx-4+3=5 | | -5=5(n+1) | | 3-3y=-3 | | 8n(10n-1)=0 | | 3-3y=-2 | | 6x+5=155-10x | | 4+66x=33x+10 | | 28=8-4n | | 42-4x=12-10x | | -8n-4=92 | | log(n-5)+5=9 | | 7y=4y+15 | | 5x^5-20x^4+35x^3=0 | | 3(23)+y=-23 | | 3(9+m)=-24 | | (n-5)+5=9 | | x+3y-z=11 | | 26-5x=6-9x | | 9f+10=-53 | | 17=5x^2+2x | | 13x+3x+2x=180 | | -30=5x+10 | | 4x+5=-58-5x | | 10a-10=0 | | 51=3(1+x) | | -35=6u+1 | | 8x+9+2x+1=180 | | -5n+3=3 | | 3x+z+12y=12 |