If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying z2 + 4z = 16 Reorder the terms: 4z + z2 = 16 Solving 4z + z2 = 16 Solving for variable 'z'. Reorder the terms: -16 + 4z + z2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 4z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '16' to each side of the equation. -16 + 4z + 16 + z2 = 0 + 16 Reorder the terms: -16 + 16 + 4z + z2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4z + z2 = 0 + 16 4z + z2 = 0 + 16 Combine like terms: 0 + 16 = 16 4z + z2 = 16 The z term is 4z. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4z + 4 + z2 = 16 + 4 Reorder the terms: 4 + 4z + z2 = 16 + 4 Combine like terms: 16 + 4 = 20 4 + 4z + z2 = 20 Factor a perfect square on the left side: (z + 2)(z + 2) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (z + 2) equal to 4.472135955 and -4.472135955.Subproblem 1
z + 2 = 4.472135955 Simplifying z + 2 = 4.472135955 Reorder the terms: 2 + z = 4.472135955 Solving 2 + z = 4.472135955 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z = 4.472135955 + -2 Combine like terms: 2 + -2 = 0 0 + z = 4.472135955 + -2 z = 4.472135955 + -2 Combine like terms: 4.472135955 + -2 = 2.472135955 z = 2.472135955 Simplifying z = 2.472135955Subproblem 2
z + 2 = -4.472135955 Simplifying z + 2 = -4.472135955 Reorder the terms: 2 + z = -4.472135955 Solving 2 + z = -4.472135955 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + z = -4.472135955 + -2 Combine like terms: 2 + -2 = 0 0 + z = -4.472135955 + -2 z = -4.472135955 + -2 Combine like terms: -4.472135955 + -2 = -6.472135955 z = -6.472135955 Simplifying z = -6.472135955Solution
The solution to the problem is based on the solutions from the subproblems. z = {2.472135955, -6.472135955}
| 35000+1680x=186000 | | 4.5x-3y=-9 | | 4x-3=7x+1 | | 5x+(-x)-1=11-2x | | c^4-4096=0 | | z^2-4z=30 | | x+2=2.1611 | | 50*200= | | 1/2(8x+14+5x-1) | | 5(x-2)-4(x+1)=5 | | -x/4=30 | | 60d+18h=174 | | lnx=17.64-x | | 6x^7-48x^5=0 | | 474/10+x/10+x/10+x/10=950 | | an=3n-4 | | 4-x/8=12 | | 4x+5x=60-15 | | 457/2100=p/100 | | 7y+2=.33333333333(9y+282) | | -2x+1/2p | | 4+x+7x=4 | | x^2+3=67 | | 7c^2-45c-28=0 | | (4s+9)(s+8)=0 | | 5m+9=2m-21 | | (2n-18)/3=(2n-24)/4 | | 1/4(8x-12y+20z) | | 8+6x=-34 | | (2n-18)3=(2n-24)4 | | -8-3x=1 | | 7x-2=-79 |