If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2z2 + -3z + -7 = 0 Reorder the terms: -7 + -3z + 2z2 = 0 Solving -7 + -3z + 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'. -3.5 + -1.5z + z2 = 0 Move the constant term to the right: Add '3.5' to each side of the equation. -3.5 + -1.5z + 3.5 + z2 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + -1.5z + z2 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -1.5z + z2 = 0 + 3.5 -1.5z + z2 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 -1.5z + z2 = 3.5 The z term is -1.5z. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5z + 0.5625 + z2 = 3.5 + 0.5625 Reorder the terms: 0.5625 + -1.5z + z2 = 3.5 + 0.5625 Combine like terms: 3.5 + 0.5625 = 4.0625 0.5625 + -1.5z + z2 = 4.0625 Factor a perfect square on the left side: (z + -0.75)(z + -0.75) = 4.0625 Calculate the square root of the right side: 2.015564437 Break this problem into two subproblems by setting (z + -0.75) equal to 2.015564437 and -2.015564437.Subproblem 1
z + -0.75 = 2.015564437 Simplifying z + -0.75 = 2.015564437 Reorder the terms: -0.75 + z = 2.015564437 Solving -0.75 + z = 2.015564437 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + z = 2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + z = 2.015564437 + 0.75 z = 2.015564437 + 0.75 Combine like terms: 2.015564437 + 0.75 = 2.765564437 z = 2.765564437 Simplifying z = 2.765564437Subproblem 2
z + -0.75 = -2.015564437 Simplifying z + -0.75 = -2.015564437 Reorder the terms: -0.75 + z = -2.015564437 Solving -0.75 + z = -2.015564437 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + z = -2.015564437 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + z = -2.015564437 + 0.75 z = -2.015564437 + 0.75 Combine like terms: -2.015564437 + 0.75 = -1.265564437 z = -1.265564437 Simplifying z = -1.265564437Solution
The solution to the problem is based on the solutions from the subproblems. z = {2.765564437, -1.265564437}
| -2x-27=-8x+63 | | r^2+3r-4=0 | | 10(x-1)-7x=x | | 10+4x=x+22 | | 5x+1=4x+6 | | -x+6=6 | | 6s+3=s-17 | | -31+8x=29+4x | | 4x^2+9x-9=0 | | 2y-3(y+1)=-(5y+9)+y | | -16+(-t)=-45 | | 4x^2+x=3 | | -6x^2-7x-9=0 | | 14-7r=3r+24 | | 5=x(10) | | 4x-7=-8 | | 2x^2+5x+2=0 | | 4x^2+5x+10=0 | | 15t-3(t-7)=57 | | 18+z=40 | | -7m-[3(10-3m)+5]=9m | | .01(x)=7 | | 0.24(6)+0.04x=0.12(6+x) | | 45-5x=4x+72 | | 4x+3=6x | | -4+2x=2x-4 | | Y=500-200 | | 5x-19=-11 | | 8x-7x+280=6x | | 4x+7=-6+5x | | 6x-3=-27 | | .33x^2+3x-4=-4 |