If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -18z = -13 Reorder the terms: -18z + z2 = -13 Solving -18z + z2 = -13 Solving for variable 'z'. Reorder the terms: 13 + -18z + z2 = -13 + 13 Combine like terms: -13 + 13 = 0 13 + -18z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + -18z + -13 + z2 = 0 + -13 Reorder the terms: 13 + -13 + -18z + z2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -18z + z2 = 0 + -13 -18z + z2 = 0 + -13 Combine like terms: 0 + -13 = -13 -18z + z2 = -13 The z term is -18z. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18z + 81 + z2 = -13 + 81 Reorder the terms: 81 + -18z + z2 = -13 + 81 Combine like terms: -13 + 81 = 68 81 + -18z + z2 = 68 Factor a perfect square on the left side: (z + -9)(z + -9) = 68 Calculate the square root of the right side: 8.246211251 Break this problem into two subproblems by setting (z + -9) equal to 8.246211251 and -8.246211251.Subproblem 1
z + -9 = 8.246211251 Simplifying z + -9 = 8.246211251 Reorder the terms: -9 + z = 8.246211251 Solving -9 + z = 8.246211251 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + z = 8.246211251 + 9 Combine like terms: -9 + 9 = 0 0 + z = 8.246211251 + 9 z = 8.246211251 + 9 Combine like terms: 8.246211251 + 9 = 17.246211251 z = 17.246211251 Simplifying z = 17.246211251Subproblem 2
z + -9 = -8.246211251 Simplifying z + -9 = -8.246211251 Reorder the terms: -9 + z = -8.246211251 Solving -9 + z = -8.246211251 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + z = -8.246211251 + 9 Combine like terms: -9 + 9 = 0 0 + z = -8.246211251 + 9 z = -8.246211251 + 9 Combine like terms: -8.246211251 + 9 = 0.753788749 z = 0.753788749 Simplifying z = 0.753788749Solution
The solution to the problem is based on the solutions from the subproblems. z = {17.246211251, 0.753788749}
| 2-5/6y=6 | | 6a+8+2a=16 | | 3x^2-3x=4 | | X=1/2(138) | | 2x+3+4x-11=180 | | mx^2-6x+m=0 | | -8y+4=15 | | w/15=26=42 | | u/15=26=42 | | 6-2(1-w)=(-38)-4w | | 1=-12c+4 | | -1.1y=77 | | 5=11-6n | | 5=e+11.2 | | 5/3x=32-x | | 4(3+9)=X(2+27) | | 17+n=30 | | 6x^2-234x+1620=0 | | X=1/2(100+200) | | 200=7.50s-150+1.50s | | 7x-17.65=6.7 | | X=1/2(60+80) | | 6x-3(x-1)=3x+9 | | 0=2(x^2-3x-200) | | 4(7x-43)=80 | | 5x-1y=-14 | | 5x+8=9x-4 | | 3x^2-117x+810=0 | | 7=r/6-3 | | (4h^3k^2/7)×(21hk^5/2)= | | 0.7x+10.4=x-5.41 | | (x+106)+(x+190)+x=1331 |