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

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


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

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

Multiply (-2 + 3z) * (7 + -1z)
(-2(7 + -1z) + 3z * (7 + -1z)) = 0
((7 * -2 + -1z * -2) + 3z * (7 + -1z)) = 0
((-14 + 2z) + 3z * (7 + -1z)) = 0
(-14 + 2z + (7 * 3z + -1z * 3z)) = 0
(-14 + 2z + (21z + -3z2)) = 0

Combine like terms: 2z + 21z = 23z
(-14 + 23z + -3z2) = 0

Solving
-14 + 23z + -3z2 = 0

Solving for variable 'z'.

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


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

Simplifying
-7 + z = 0

Solving
-7 + z = 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 + z = 0 + 7

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

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

Simplifying
z = 7

Subproblem 2
Set the factor '(2 + -3z)' equal to zero and attempt to solve:

Simplifying
2 + -3z = 0

Solving
2 + -3z = 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 + -3z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3z = 0 + -2
-3z = 0 + -2

Combine like terms: 0 + -2 = -2
-3z = -2

Divide each side by '-3'.
z = 0.6666666667

Simplifying
z = 0.6666666667
Solution
z = {7, 0.6666666667}

See similar equations:

| 5x-6+3x+90=x | | what+the+fuck=youre+gay | | 4(3-2x)=-28 | | -4s^3-24s^2-80=0 | | 234k=123c | | 1+1-1=2x^5*(0.123e) | | 123+123+567=123 | | (2x-3)(5x+1)=0 | | -31-7x=-3+21 | | abc=123+dec | | n-56=7 | | -3+5=12 | | 7.5d+7=53 | | x+(-12)=72 | | -10x^2-13x+30=0 | | -8x-70=7x | | x+2y+9=0 | | -54=6(9-6x) | | 9u^2-4w^2= | | 48x+16-56=-2(8x-64) | | -5t(t+4)=0 | | y-10=c | | (x^3)+(3x^2)-144x=0 | | (x^3)(3x^2)-144x=0 | | 101+n=164 | | 0.20M-2=3 | | -1.75=8.5a+1.5a-2.25 | | Y=.5(-2)+1 | | 8.4=s-0.2 | | Y=.5(-6)+1 | | -200t^2+3600t-6400=8500 | | -2(4+6x)=-80 |

Equations solver categories