If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (6z2 + -5z + 1) + (8z2 + 7z + -4) = 0 Reorder the terms: (1 + -5z + 6z2) + (8z2 + 7z + -4) = 0 Remove parenthesis around (1 + -5z + 6z2) 1 + -5z + 6z2 + (8z2 + 7z + -4) = 0 Reorder the terms: 1 + -5z + 6z2 + (-4 + 7z + 8z2) = 0 Remove parenthesis around (-4 + 7z + 8z2) 1 + -5z + 6z2 + -4 + 7z + 8z2 = 0 Reorder the terms: 1 + -4 + -5z + 7z + 6z2 + 8z2 = 0 Combine like terms: 1 + -4 = -3 -3 + -5z + 7z + 6z2 + 8z2 = 0 Combine like terms: -5z + 7z = 2z -3 + 2z + 6z2 + 8z2 = 0 Combine like terms: 6z2 + 8z2 = 14z2 -3 + 2z + 14z2 = 0 Solving -3 + 2z + 14z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. -0.2142857143 + 0.1428571429z + z2 = 0 Move the constant term to the right: Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.1428571429z + 0.2142857143 + z2 = 0 + 0.2142857143 Reorder the terms: -0.2142857143 + 0.2142857143 + 0.1428571429z + z2 = 0 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + 0.1428571429z + z2 = 0 + 0.2142857143 0.1428571429z + z2 = 0 + 0.2142857143 Combine like terms: 0 + 0.2142857143 = 0.2142857143 0.1428571429z + z2 = 0.2142857143 The z term is 0.1428571429z. Take half its coefficient (0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. 0.1428571429z + 0.005102040819 + z2 = 0.2142857143 + 0.005102040819 Reorder the terms: 0.005102040819 + 0.1428571429z + z2 = 0.2142857143 + 0.005102040819 Combine like terms: 0.2142857143 + 0.005102040819 = 0.219387755119 0.005102040819 + 0.1428571429z + z2 = 0.219387755119 Factor a perfect square on the left side: (z + 0.07142857145)(z + 0.07142857145) = 0.219387755119 Calculate the square root of the right side: 0.468388466 Break this problem into two subproblems by setting (z + 0.07142857145) equal to 0.468388466 and -0.468388466.Subproblem 1
z + 0.07142857145 = 0.468388466 Simplifying z + 0.07142857145 = 0.468388466 Reorder the terms: 0.07142857145 + z = 0.468388466 Solving 0.07142857145 + z = 0.468388466 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.07142857145' to each side of the equation. 0.07142857145 + -0.07142857145 + z = 0.468388466 + -0.07142857145 Combine like terms: 0.07142857145 + -0.07142857145 = 0.00000000000 0.00000000000 + z = 0.468388466 + -0.07142857145 z = 0.468388466 + -0.07142857145 Combine like terms: 0.468388466 + -0.07142857145 = 0.39695989455 z = 0.39695989455 Simplifying z = 0.39695989455Subproblem 2
z + 0.07142857145 = -0.468388466 Simplifying z + 0.07142857145 = -0.468388466 Reorder the terms: 0.07142857145 + z = -0.468388466 Solving 0.07142857145 + z = -0.468388466 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.07142857145' to each side of the equation. 0.07142857145 + -0.07142857145 + z = -0.468388466 + -0.07142857145 Combine like terms: 0.07142857145 + -0.07142857145 = 0.00000000000 0.00000000000 + z = -0.468388466 + -0.07142857145 z = -0.468388466 + -0.07142857145 Combine like terms: -0.468388466 + -0.07142857145 = -0.53981703745 z = -0.53981703745 Simplifying z = -0.53981703745Solution
The solution to the problem is based on the solutions from the subproblems. z = {0.39695989455, -0.53981703745}
| (3+5n)+9n=3+(5n+9n) | | x/x-4+2=4/x-4 | | 49+n=335 | | m/4+7=6 | | 8-v=2c | | 48a-36=120a-216 | | 3(x-4)-9(x+6)=-4(x+20) | | .5t+6=1 | | 5z-z+3=z+3+1 | | 7=3x+13 | | 1x-1+3x-3=3x+8 | | 17+p=7-13 | | m+-4m=2m+-5 | | 1/4(y+1)2=9/4 | | d-(257*6)=8328 | | 7(x+2)-4x=2(x+10) | | d-(257*4)=8328 | | 18=5b-17 | | m=7+1-3n | | x^2-14x=-19 | | -10M+2.2=-17.8 | | 7x-2(x-6)=-18 | | 2.5/5+10-2= | | 5x+7=x+8 | | 6-257x=8328 | | -2.7*0-1.9y=8.4 | | 7p-8=62 | | 6ln(3x+6)+5=29 | | x^2-13=10x | | 9659-(257*6)=8328 | | 5x-13=7x+12 | | 5/24*3/10 |