If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -1z + -162 = 0 Reorder the terms: -162 + -1z + z2 = 0 Solving -162 + -1z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '162' to each side of the equation. -162 + -1z + 162 + z2 = 0 + 162 Reorder the terms: -162 + 162 + -1z + z2 = 0 + 162 Combine like terms: -162 + 162 = 0 0 + -1z + z2 = 0 + 162 -1z + z2 = 0 + 162 Combine like terms: 0 + 162 = 162 -1z + z2 = 162 The z term is -1z. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1z + 0.25 + z2 = 162 + 0.25 Reorder the terms: 0.25 + -1z + z2 = 162 + 0.25 Combine like terms: 162 + 0.25 = 162.25 0.25 + -1z + z2 = 162.25 Factor a perfect square on the left side: (z + -0.5)(z + -0.5) = 162.25 Calculate the square root of the right side: 12.737739203 Break this problem into two subproblems by setting (z + -0.5) equal to 12.737739203 and -12.737739203.Subproblem 1
z + -0.5 = 12.737739203 Simplifying z + -0.5 = 12.737739203 Reorder the terms: -0.5 + z = 12.737739203 Solving -0.5 + z = 12.737739203 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + z = 12.737739203 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + z = 12.737739203 + 0.5 z = 12.737739203 + 0.5 Combine like terms: 12.737739203 + 0.5 = 13.237739203 z = 13.237739203 Simplifying z = 13.237739203Subproblem 2
z + -0.5 = -12.737739203 Simplifying z + -0.5 = -12.737739203 Reorder the terms: -0.5 + z = -12.737739203 Solving -0.5 + z = -12.737739203 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + z = -12.737739203 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + z = -12.737739203 + 0.5 z = -12.737739203 + 0.5 Combine like terms: -12.737739203 + 0.5 = -12.237739203 z = -12.237739203 Simplifying z = -12.237739203Solution
The solution to the problem is based on the solutions from the subproblems. z = {13.237739203, -12.237739203}
| 8x+-16=5x+35 | | -9.9q+1.5=-14.5-1.9q | | 2x^2-12x+8=0 | | 2|2x+3|=34 | | 4|h+1|=32 | | 3+|2+5|=10 | | 2(3x+5)+2(7x-4)=102 | | 2(k+5)-(-3k+5)=8 | | 2x-6=-4x | | 2(11x+9)+2(4x+5)=298 | | 2(k-5)-(-3k+5)=8 | | a+b+c=60 | | 2(5a+9)+2(5a+9)=116 | | 2(6y+4)+2(6y+4)=184 | | (xy-x)+(5xy+3x)= | | 7-|m-1|=3 | | -(5y-7)-(-4y-5)=6 | | 9x=7y+12 | | 4x-2(3-(7-5x))= | | -(5y-7)-(-4-5)=7 | | |2c+3|-15=0 | | 5-2(2-(3y-5))= | | |3x+7|+4=0 | | 8(y+2)+4y=10y-2y^2-4 | | 12x^6-16x^5-28x^4=0 | | 3b|-10|=2b | | 1.6x+35y=.57 | | AX=63 | | 2|y+4|=14 | | x=4/3 | | -4x/2x=0 | | 4y^2+28y=72 |