If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2z2 + -6z + -5 = 0 Reorder the terms: -5 + -6z + 2z2 = 0 Solving -5 + -6z + 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'. -2.5 + -3z + z2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + -3z + 2.5 + z2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + -3z + z2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -3z + z2 = 0 + 2.5 -3z + z2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 -3z + z2 = 2.5 The z term is -3z. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3z + 2.25 + z2 = 2.5 + 2.25 Reorder the terms: 2.25 + -3z + z2 = 2.5 + 2.25 Combine like terms: 2.5 + 2.25 = 4.75 2.25 + -3z + z2 = 4.75 Factor a perfect square on the left side: (z + -1.5)(z + -1.5) = 4.75 Calculate the square root of the right side: 2.179449472 Break this problem into two subproblems by setting (z + -1.5) equal to 2.179449472 and -2.179449472.Subproblem 1
z + -1.5 = 2.179449472 Simplifying z + -1.5 = 2.179449472 Reorder the terms: -1.5 + z = 2.179449472 Solving -1.5 + z = 2.179449472 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + z = 2.179449472 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + z = 2.179449472 + 1.5 z = 2.179449472 + 1.5 Combine like terms: 2.179449472 + 1.5 = 3.679449472 z = 3.679449472 Simplifying z = 3.679449472Subproblem 2
z + -1.5 = -2.179449472 Simplifying z + -1.5 = -2.179449472 Reorder the terms: -1.5 + z = -2.179449472 Solving -1.5 + z = -2.179449472 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + z = -2.179449472 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + z = -2.179449472 + 1.5 z = -2.179449472 + 1.5 Combine like terms: -2.179449472 + 1.5 = -0.679449472 z = -0.679449472 Simplifying z = -0.679449472Solution
The solution to the problem is based on the solutions from the subproblems. z = {3.679449472, -0.679449472}
| 9x+6=-75 | | (3x+6)+(-2x-6)=1 | | -5y-2=-4y-6 | | y^3-0.58*y^2+0.013=0 | | 5x-8=50x+28 | | 2(c+3)=4(c-1) | | -16t^2+72t-32=0 | | 5.4a+3.82=-16.70 | | 4m-25=-25+9m | | (3x-8)-(5x-9)=-1 | | s^2-s-3=0 | | -3.6-4x-1.9-x=-4x+0.1 | | (7x-5)+(-6x+1)=6 | | y=1109116.273+-1.272727273x | | -8(z-8)=-9z | | 7z-7=8z-4 | | 11x+14y=12200279 | | 2b-7=-3b+1 | | 5x-8=7x-3x | | 14x+11y=12200279 | | 6x+4x=9x+9 | | 0.25(x+20)-0.3(x-40)=15 | | 4(x+5)=5(3-7)x | | 7tan(x)=7 | | (2x^3-x^2)/(x^2)=0 | | u^2-4u-16=0 | | dy/dx-dx/dy=x/y-y/x | | (x^2-5x)(2x^2+x-3)=0 | | 16t^2-124t+84=0 | | (4x-3)+(-3x+8)=10 | | 4(x+5)=5(3-7) | | 4(x+5)=5(3+7) |