If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + -16z = -9 Reorder the terms: -16z + z2 = -9 Solving -16z + z2 = -9 Solving for variable 'z'. Reorder the terms: 9 + -16z + z2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -16z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -16z + -9 + z2 = 0 + -9 Reorder the terms: 9 + -9 + -16z + z2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -16z + z2 = 0 + -9 -16z + z2 = 0 + -9 Combine like terms: 0 + -9 = -9 -16z + z2 = -9 The z term is -16z. Take half its coefficient (-8). Square it (64) and add it to both sides. Add '64' to each side of the equation. -16z + 64 + z2 = -9 + 64 Reorder the terms: 64 + -16z + z2 = -9 + 64 Combine like terms: -9 + 64 = 55 64 + -16z + z2 = 55 Factor a perfect square on the left side: (z + -8)(z + -8) = 55 Calculate the square root of the right side: 7.416198487 Break this problem into two subproblems by setting (z + -8) equal to 7.416198487 and -7.416198487.Subproblem 1
z + -8 = 7.416198487 Simplifying z + -8 = 7.416198487 Reorder the terms: -8 + z = 7.416198487 Solving -8 + z = 7.416198487 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + z = 7.416198487 + 8 Combine like terms: -8 + 8 = 0 0 + z = 7.416198487 + 8 z = 7.416198487 + 8 Combine like terms: 7.416198487 + 8 = 15.416198487 z = 15.416198487 Simplifying z = 15.416198487Subproblem 2
z + -8 = -7.416198487 Simplifying z + -8 = -7.416198487 Reorder the terms: -8 + z = -7.416198487 Solving -8 + z = -7.416198487 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + z = -7.416198487 + 8 Combine like terms: -8 + 8 = 0 0 + z = -7.416198487 + 8 z = -7.416198487 + 8 Combine like terms: -7.416198487 + 8 = 0.583801513 z = 0.583801513 Simplifying z = 0.583801513Solution
The solution to the problem is based on the solutions from the subproblems. z = {15.416198487, 0.583801513}
| 5x^2+50x-10=0 | | -4/8x=12 | | 9u+3v-6(9u-6v)= | | -5c+6d=-42 | | 217/e | | (128/x)=64 | | 2/8x=16 | | -7b-3=-3b-5 | | (128/8)-64 | | x(x-1)-42=0 | | 109+356=465 | | 12-18x=297 | | S-23.5=82 | | x/(-2)=2 | | g^2+9g=90 | | 3(2x-5)=2(15+x)-1 | | 2105=Q+90 | | 5x+7y=-25 | | x+(A+A-2)=100 | | 0.8(4x+0.6)= | | 3x^(8/3)=-2 | | 2x=8/16 | | 1/2x-8=3/2x+2 | | -4-8=n | | (-10/7)6 | | x/7.6=5.4 | | 2t^2-5t-3=0 | | 7x+15=4X+30 | | -2/4x=20 | | 3h+2(h-3)=91.50 | | x/-6=6 | | 27x+18=60 |