If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -35 + -7z + 2z2 = 0 Solving -35 + -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'. -17.5 + -3.5z + z2 = 0 Move the constant term to the right: Add '17.5' to each side of the equation. -17.5 + -3.5z + 17.5 + z2 = 0 + 17.5 Reorder the terms: -17.5 + 17.5 + -3.5z + z2 = 0 + 17.5 Combine like terms: -17.5 + 17.5 = 0.0 0.0 + -3.5z + z2 = 0 + 17.5 -3.5z + z2 = 0 + 17.5 Combine like terms: 0 + 17.5 = 17.5 -3.5z + z2 = 17.5 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 = 17.5 + 3.0625 Reorder the terms: 3.0625 + -3.5z + z2 = 17.5 + 3.0625 Combine like terms: 17.5 + 3.0625 = 20.5625 3.0625 + -3.5z + z2 = 20.5625 Factor a perfect square on the left side: (z + -1.75)(z + -1.75) = 20.5625 Calculate the square root of the right side: 4.534589287 Break this problem into two subproblems by setting (z + -1.75) equal to 4.534589287 and -4.534589287.Subproblem 1
z + -1.75 = 4.534589287 Simplifying z + -1.75 = 4.534589287 Reorder the terms: -1.75 + z = 4.534589287 Solving -1.75 + z = 4.534589287 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 = 4.534589287 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + z = 4.534589287 + 1.75 z = 4.534589287 + 1.75 Combine like terms: 4.534589287 + 1.75 = 6.284589287 z = 6.284589287 Simplifying z = 6.284589287Subproblem 2
z + -1.75 = -4.534589287 Simplifying z + -1.75 = -4.534589287 Reorder the terms: -1.75 + z = -4.534589287 Solving -1.75 + z = -4.534589287 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 = -4.534589287 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + z = -4.534589287 + 1.75 z = -4.534589287 + 1.75 Combine like terms: -4.534589287 + 1.75 = -2.784589287 z = -2.784589287 Simplifying z = -2.784589287Solution
The solution to the problem is based on the solutions from the subproblems. z = {6.284589287, -2.784589287}
| 5x+2=x-1 | | 7.4=y-7 | | 1.5x+2.9=0.7x-4.62 | | 12x-142-16x=78 | | 10x+2=5x-7 | | 32-68z+8z^2=0 | | 8x+2x-365=175 | | 5t+10s+10=520 | | 19x-24x-71=94 | | -45+4y+y^2=0 | | 4x-113+x=152 | | x^2+22=10x | | 0=-2x^4+5x^2+x-.5 | | -2x-185+11x=67 | | 3(x+4)=(x-2) | | 6x+6=5x+7 | | -3p+7=5-(12p+6) | | 2x+9=4x-9 | | -9x-36+7x=28 | | 8x-9=5x | | 7+2y-4=5y+12-2y | | -2x+8=30 | | -15x+22x-81=157 | | 4y-9y=30 | | 4x+5=-4+5x | | 5t+9t=98 | | X+5=4x-19 | | -245+18x-27x=196 | | 16m=13 | | -3(7p+3)-2(1-17p)=3(3+4p) | | 6x+3x-307=269 | | 5-6(2+y)=y-14 |