If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2z2 + -7z + -1 = 0 Reorder the terms: -1 + -7z + 2z2 = 0 Solving -1 + -7z + 2z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -0.5 + -3.5z + z2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + -3.5z + 0.5 + z2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + -3.5z + z2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -3.5z + z2 = 0 + 0.5 -3.5z + z2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 -3.5z + z2 = 0.5 The z term is -3.5z. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5z + 3.0625 + z2 = 0.5 + 3.0625 Reorder the terms: 3.0625 + -3.5z + z2 = 0.5 + 3.0625 Combine like terms: 0.5 + 3.0625 = 3.5625 3.0625 + -3.5z + z2 = 3.5625 Factor a perfect square on the left side: (z + -1.75)(z + -1.75) = 3.5625 Calculate the square root of the right side: 1.887458609 Break this problem into two subproblems by setting (z + -1.75) equal to 1.887458609 and -1.887458609.Subproblem 1
z + -1.75 = 1.887458609 Simplifying z + -1.75 = 1.887458609 Reorder the terms: -1.75 + z = 1.887458609 Solving -1.75 + z = 1.887458609 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + z = 1.887458609 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + z = 1.887458609 + 1.75 z = 1.887458609 + 1.75 Combine like terms: 1.887458609 + 1.75 = 3.637458609 z = 3.637458609 Simplifying z = 3.637458609Subproblem 2
z + -1.75 = -1.887458609 Simplifying z + -1.75 = -1.887458609 Reorder the terms: -1.75 + z = -1.887458609 Solving -1.75 + z = -1.887458609 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.75' to each side of the equation. -1.75 + 1.75 + z = -1.887458609 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + z = -1.887458609 + 1.75 z = -1.887458609 + 1.75 Combine like terms: -1.887458609 + 1.75 = -0.137458609 z = -0.137458609 Simplifying z = -0.137458609Solution
The solution to the problem is based on the solutions from the subproblems. z = {3.637458609, -0.137458609}
| Log[4]x+log[4](x-3)=2 | | x-0.40x=492 | | log(x+16)-log(x)=1 | | 2z^2-7z=1 | | 10x-7=30x+5 | | 4x^2-4x+z=0 | | 6.2x+x=180 | | =(x^2-4+5) | | 3x+4-2x=4x-5 | | 6x=3(x+2)+33 | | x+y-12=0 | | 76x=140 | | 6+.15(x-600)=30.75 | | (24-5y)+(-7y)=180 | | -3k^2+2k-17=-4k^2+7 | | =3(x^2-2x+5) | | 1812x+2=x-1 | | (3x-2)-(4x+3)= | | 19(x-50)=180 | | 34x-2=(x+4) | | -10x+16=0 | | 7y=x+21 | | (y-6)-(y+9)=8y | | 12(6y-10)=7 | | 1.25[x]=.8775 | | t^22+9t=-20 | | (16x-3)=(3x-8) | | N-8=21-4 | | 1.25[x]=.975 | | x^2+8x=8x | | m^2-8m-44=4-6m | | 1.25[x]=1.083 |