If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 = 9z + -1 Reorder the terms: z2 = -1 + 9z Solving z2 = -1 + 9z Solving for variable 'z'. Reorder the terms: 1 + -9z + z2 = -1 + 9z + 1 + -9z Reorder the terms: 1 + -9z + z2 = -1 + 1 + 9z + -9z Combine like terms: -1 + 1 = 0 1 + -9z + z2 = 0 + 9z + -9z 1 + -9z + z2 = 9z + -9z Combine like terms: 9z + -9z = 0 1 + -9z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -9z + -1 + z2 = 0 + -1 Reorder the terms: 1 + -1 + -9z + z2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9z + z2 = 0 + -1 -9z + z2 = 0 + -1 Combine like terms: 0 + -1 = -1 -9z + z2 = -1 The z term is -9z. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9z + 20.25 + z2 = -1 + 20.25 Reorder the terms: 20.25 + -9z + z2 = -1 + 20.25 Combine like terms: -1 + 20.25 = 19.25 20.25 + -9z + z2 = 19.25 Factor a perfect square on the left side: (z + -4.5)(z + -4.5) = 19.25 Calculate the square root of the right side: 4.387482194 Break this problem into two subproblems by setting (z + -4.5) equal to 4.387482194 and -4.387482194.Subproblem 1
z + -4.5 = 4.387482194 Simplifying z + -4.5 = 4.387482194 Reorder the terms: -4.5 + z = 4.387482194 Solving -4.5 + z = 4.387482194 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + z = 4.387482194 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + z = 4.387482194 + 4.5 z = 4.387482194 + 4.5 Combine like terms: 4.387482194 + 4.5 = 8.887482194 z = 8.887482194 Simplifying z = 8.887482194Subproblem 2
z + -4.5 = -4.387482194 Simplifying z + -4.5 = -4.387482194 Reorder the terms: -4.5 + z = -4.387482194 Solving -4.5 + z = -4.387482194 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + z = -4.387482194 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + z = -4.387482194 + 4.5 z = -4.387482194 + 4.5 Combine like terms: -4.387482194 + 4.5 = 0.112517806 z = 0.112517806 Simplifying z = 0.112517806Solution
The solution to the problem is based on the solutions from the subproblems. z = {8.887482194, 0.112517806}
| 91r=8918 | | 24x^2-23x-12=0 | | x/7+7x/13 | | 4-1(1-x)=2x+3 | | 3x+2y-4z=0 | | h(x)=6-3x | | 2/x^6 | | x=-1/4 | | 3/8a-4=-1/4 | | 105/65 | | t(c)=-16 | | 65/105 | | Y-5=(-7)(x-0) | | 18/50/20 | | 3+5r+4=18 | | f(x)=3-4x | | x^2+8x+45=-6x+5 | | 50/18/20 | | 45+135+3x+x+45+135=1080 | | 2/3n-7=19 | | (n-9)*3=21 | | 16/72 | | 15-2.5=x | | x-5/3=-10 | | 8/5x=40 | | x^2+6x+11=3 | | X-8/x+8 | | 15=(3x-30) | | 4x-7=.2x+7 | | 2(5q+8)=6 | | 2(8)+5-9=12 | | 72/16 |