If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2z2 + 11z + 6 = 0 Reorder the terms: 6 + 11z + 2z2 = 0 Solving 6 + 11z + 2z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3 + 5.5z + z2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 5.5z + -3 + z2 = 0 + -3 Reorder the terms: 3 + -3 + 5.5z + z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5.5z + z2 = 0 + -3 5.5z + z2 = 0 + -3 Combine like terms: 0 + -3 = -3 5.5z + z2 = -3 The z term is 5.5z. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5z + 7.5625 + z2 = -3 + 7.5625 Reorder the terms: 7.5625 + 5.5z + z2 = -3 + 7.5625 Combine like terms: -3 + 7.5625 = 4.5625 7.5625 + 5.5z + z2 = 4.5625 Factor a perfect square on the left side: (z + 2.75)(z + 2.75) = 4.5625 Calculate the square root of the right side: 2.136000936 Break this problem into two subproblems by setting (z + 2.75) equal to 2.136000936 and -2.136000936.Subproblem 1
z + 2.75 = 2.136000936 Simplifying z + 2.75 = 2.136000936 Reorder the terms: 2.75 + z = 2.136000936 Solving 2.75 + z = 2.136000936 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + z = 2.136000936 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + z = 2.136000936 + -2.75 z = 2.136000936 + -2.75 Combine like terms: 2.136000936 + -2.75 = -0.613999064 z = -0.613999064 Simplifying z = -0.613999064Subproblem 2
z + 2.75 = -2.136000936 Simplifying z + 2.75 = -2.136000936 Reorder the terms: 2.75 + z = -2.136000936 Solving 2.75 + z = -2.136000936 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.75' to each side of the equation. 2.75 + -2.75 + z = -2.136000936 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + z = -2.136000936 + -2.75 z = -2.136000936 + -2.75 Combine like terms: -2.136000936 + -2.75 = -4.886000936 z = -4.886000936 Simplifying z = -4.886000936Solution
The solution to the problem is based on the solutions from the subproblems. z = {-0.613999064, -4.886000936}
| Xsquare+7x+8=0 | | 77-7x=20x+17 | | 2601=441+2x+2x^2 | | a^2+2a+1=39 | | sin^2x=2+2cosx | | 3x-4=3x-7 | | 0.5x-4=2x+7 | | 5m=a | | 5(2+3x)=44 | | 2(w+4)+2w=64 | | 7x=3.14 | | 2log(x+1)=6 | | 5x+2=8x-5 | | 8h-15=7-3h | | 4n+8p= | | -17x=34 | | -17=34 | | 0.5+0.5sin(2x)=y | | 2(v-7)-4=0 | | 3x^2+4x+9=8 | | (X+40)+(2x-10)=180 | | (4+7)-(-3+(-6))= | | 35x^2+168=301x | | b^2+81=0 | | 5(2+6x)=44 | | -4a+5=3 | | 10-7+6-(-3)= | | h^2-12h=108 | | 3n=115 | | 12x+12=4x+54 | | 2n^2=14n | | 8-4+(-3)-7= |