If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -5z = 10 Reorder the terms: -5z + z2 = 10 Solving -5z + z2 = 10 Solving for variable 'z'. Reorder the terms: -10 + -5z + z2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -5z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + -5z + 10 + z2 = 0 + 10 Reorder the terms: -10 + 10 + -5z + z2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -5z + z2 = 0 + 10 -5z + z2 = 0 + 10 Combine like terms: 0 + 10 = 10 -5z + z2 = 10 The z term is -5z. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5z + 6.25 + z2 = 10 + 6.25 Reorder the terms: 6.25 + -5z + z2 = 10 + 6.25 Combine like terms: 10 + 6.25 = 16.25 6.25 + -5z + z2 = 16.25 Factor a perfect square on the left side: (z + -2.5)(z + -2.5) = 16.25 Calculate the square root of the right side: 4.031128874 Break this problem into two subproblems by setting (z + -2.5) equal to 4.031128874 and -4.031128874.Subproblem 1
z + -2.5 = 4.031128874 Simplifying z + -2.5 = 4.031128874 Reorder the terms: -2.5 + z = 4.031128874 Solving -2.5 + z = 4.031128874 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + z = 4.031128874 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + z = 4.031128874 + 2.5 z = 4.031128874 + 2.5 Combine like terms: 4.031128874 + 2.5 = 6.531128874 z = 6.531128874 Simplifying z = 6.531128874Subproblem 2
z + -2.5 = -4.031128874 Simplifying z + -2.5 = -4.031128874 Reorder the terms: -2.5 + z = -4.031128874 Solving -2.5 + z = -4.031128874 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + z = -4.031128874 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + z = -4.031128874 + 2.5 z = -4.031128874 + 2.5 Combine like terms: -4.031128874 + 2.5 = -1.531128874 z = -1.531128874 Simplifying z = -1.531128874Solution
The solution to the problem is based on the solutions from the subproblems. z = {6.531128874, -1.531128874}
| 6(x-3)+2x=4(2x+1)-22 | | 14=y+7 | | 55+v= | | 12x-64=4 | | x^2-ax-bx=-ab | | 2n+5=32 | | 5-(2x-3)=-3x+6 | | 7x-12=-33 | | 2(4-x)=3+7 | | 3t-11=14(2) | | (x+18)=(3x-6) | | 9x=-20 | | x-.6x=144 | | y=4+5 | | m/4=-13 | | 7x^2-16x+4=0 | | -1/4(x-8)+1/2(x+2)=x-3 | | r+11-blank=19-blank | | 3v=63 | | 10x=64 | | -0.2344m=2028.732 | | 4.7m+5.9=-3.5 | | -5=a/18 | | -(3y+1)-(2y-8)=1 | | [4a-1]=17 | | 1-1=2(4-x) | | (12x+6)=(x+18) | | [6-x]=2 | | 10x+y=16 | | -6x=108 | | 17w-28=-11 | | -5(y-8)-2(y-1)-1=3y-9 |