(2-z)(3z-7)=0

Simple and best practice solution for (2-z)(3z-7)=0 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 (2-z)(3z-7)=0 equation: 


Simplifying
(2 + -1z)(3z + -7) = 0

Reorder the terms:
(2 + -1z)(-7 + 3z) = 0

Multiply (2 + -1z) * (-7 + 3z)
(2(-7 + 3z) + -1z * (-7 + 3z)) = 0
((-7 * 2 + 3z * 2) + -1z * (-7 + 3z)) = 0
((-14 + 6z) + -1z * (-7 + 3z)) = 0
(-14 + 6z + (-7 * -1z + 3z * -1z)) = 0
(-14 + 6z + (7z + -3z2)) = 0

Combine like terms: 6z + 7z = 13z
(-14 + 13z + -3z2) = 0

Solving
-14 + 13z + -3z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-7 + 3z)(2 + -1z) = 0


Subproblem 1
Set the factor '(-7 + 3z)' equal to zero and attempt to solve:

Simplifying
-7 + 3z = 0

Solving
-7 + 3z = 0

Move all terms containing z to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + 3z = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3z = 0 + 7
3z = 0 + 7

Combine like terms: 0 + 7 = 7
3z = 7

Divide each side by '3'.
z = 2.333333333

Simplifying
z = 2.333333333

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 = {2.333333333, 2}

See similar equations:

| 36x=6-3 | | 5x+-13= | | 3(x-15)=78 | | (8x-4)(3x+8)=0 | | 3r=21 | | 10x-5y-3z=-9 | | 9x-8=6x-1 | | (u-1)(u+3)=0 | | (x-2)(3x+4)=0 | | 2(a^2+12)=19a | | N-4=-9 | | 3-6x=63 | | 53+3x=0 | | x+6y=3v | | R+3=-4 | | (x+9)(x+2)=0 | | x(x+1)=6 | | N+8=18 | | 7x+3=-67 | | 37-x=21 | | P+8=15 | | x+3y=7v | | (x+9)(4x-5)=(x-17)(1-3x) | | (X+6)(x+1)=x(x+8) | | 26=2(2x+4)+2x | | V+2=-1 | | -4(x-6)+3=27 | | 2(3x-1)=4x+8 | | 13z=15z+42 | | (3x-7)(x^2-25)=0 | | 6x+1=-29 | | 7x^2-49x-56=0 |

Equations solver categories