z^2=18-7z

Simple and best practice solution for z^2=18-7z equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for z^2=18-7z equation:


Simplifying
z2 = 18 + -7z

Solving
z2 = 18 + -7z

Solving for variable 'z'.

Reorder the terms:
-18 + 7z + z2 = 18 + -7z + -18 + 7z

Reorder the terms:
-18 + 7z + z2 = 18 + -18 + -7z + 7z

Combine like terms: 18 + -18 = 0
-18 + 7z + z2 = 0 + -7z + 7z
-18 + 7z + z2 = -7z + 7z

Combine like terms: -7z + 7z = 0
-18 + 7z + z2 = 0

Factor a trinomial.
(-9 + -1z)(2 + -1z) = 0

Subproblem 1

Set the factor '(-9 + -1z)' equal to zero and attempt to solve: Simplifying -9 + -1z = 0 Solving -9 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 0 + 9 -1z = 0 + 9 Combine like terms: 0 + 9 = 9 -1z = 9 Divide each side by '-1'. z = -9 Simplifying z = -9

Subproblem 2

Set the factor '(2 + -1z)' equal to zero and attempt to solve: Simplifying 2 + -1z = 0 Solving 2 + -1z = 0 Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2

Solution

z = {-9, 2}

See similar equations:

| B^2-4b-12=0 | | 24x=0 | | r^4-r^2=12 | | 2n^2-n-6=0 | | 2n^2-n-6=o | | d^2-3d=70 | | 3(w-7)-1=-2(-5w+2)-3w | | 9x+x^2=22 | | y^2+9=-10y | | p^2-19p-42=0 | | 4(3m-5)=6m-14 | | 9y^2+5y-4= | | x^2(x-7)(4x-1)=0 | | 2x^3+2x^2-22x+30=0 | | x+2-5+(-6)= | | 3X+2=2X+2 | | 3y-2x+12=0 | | 4x*2= | | 3z-18=-24+2z | | 2m-12=-12+4m | | x^2+49x=0 | | ln(7x+13)=2 | | p=2x^2+16x+300 | | -3x-1+4+2=18-7x+5x | | (x-2)(x+3)(2x-5)=0 | | -9x+2=-2y-8 | | 6y+14(5y-12)=212 | | 10x^2+6x+38=0 | | 2y=x+5 | | 12x^2+17x-40=0 | | x^2+7x-34=0 | | X^2+16x+8= |

Equations solver categories