If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + 3z + -6 = 0 Reorder the terms: -6 + 3z + z2 = 0 Solving -6 + 3z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '6' to each side of the equation. -6 + 3z + 6 + z2 = 0 + 6 Reorder the terms: -6 + 6 + 3z + z2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3z + z2 = 0 + 6 3z + z2 = 0 + 6 Combine like terms: 0 + 6 = 6 3z + z2 = 6 The z term is 3z. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3z + 2.25 + z2 = 6 + 2.25 Reorder the terms: 2.25 + 3z + z2 = 6 + 2.25 Combine like terms: 6 + 2.25 = 8.25 2.25 + 3z + z2 = 8.25 Factor a perfect square on the left side: (z + 1.5)(z + 1.5) = 8.25 Calculate the square root of the right side: 2.872281323 Break this problem into two subproblems by setting (z + 1.5) equal to 2.872281323 and -2.872281323.Subproblem 1
z + 1.5 = 2.872281323 Simplifying z + 1.5 = 2.872281323 Reorder the terms: 1.5 + z = 2.872281323 Solving 1.5 + z = 2.872281323 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + z = 2.872281323 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + z = 2.872281323 + -1.5 z = 2.872281323 + -1.5 Combine like terms: 2.872281323 + -1.5 = 1.372281323 z = 1.372281323 Simplifying z = 1.372281323Subproblem 2
z + 1.5 = -2.872281323 Simplifying z + 1.5 = -2.872281323 Reorder the terms: 1.5 + z = -2.872281323 Solving 1.5 + z = -2.872281323 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + z = -2.872281323 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + z = -2.872281323 + -1.5 z = -2.872281323 + -1.5 Combine like terms: -2.872281323 + -1.5 = -4.372281323 z = -4.372281323 Simplifying z = -4.372281323Solution
The solution to the problem is based on the solutions from the subproblems. z = {1.372281323, -4.372281323}
| 1/3x-20=72 | | 5u=-4u-18 | | 3(2)+4=t | | 6y-5(y-3)+4=7 | | 12.5y+3x+13x-30=180 | | 9-5x=5-6x | | (X+5)(x+1)(x)=180 | | 3x+30=117 | | 51x=-153 | | 8r+8=4(r+5) | | 4(13)=t | | 1/2x+6=92 | | 12x-14=16x-13 | | y=12x^2+17x-7 | | x/65 | | 35v^2-7=-28v | | 1(23)+15=t | | 4-3a=-3-4a | | 1(3)+15=t | | -2y^2+x-4y+1=0 | | 4x+9=73 | | 3x-9=13+x | | 4x-16=16-2x | | 7x-5-2x+31=180 | | 3(1)-2=t | | 5/2x^2+3x+1/10=0 | | 2/5(10x-20)=5/6(12-6x) | | 3(4)-2=t | | I=500(.0725)(8) | | 65+260x=2925 | | 9(n+4)=-54 | | 12x-6+1=2x-3 |