(6z-5)(z-7)=0

Simple and best practice solution for (6z-5)(z-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 (6z-5)(z-7)=0 equation: 


Simplifying
(6z + -5)(z + -7) = 0

Reorder the terms:
(-5 + 6z)(z + -7) = 0

Reorder the terms:
(-5 + 6z)(-7 + z) = 0

Multiply (-5 + 6z) * (-7 + z)
(-5(-7 + z) + 6z * (-7 + z)) = 0
((-7 * -5 + z * -5) + 6z * (-7 + z)) = 0
((35 + -5z) + 6z * (-7 + z)) = 0
(35 + -5z + (-7 * 6z + z * 6z)) = 0
(35 + -5z + (-42z + 6z2)) = 0

Combine like terms: -5z + -42z = -47z
(35 + -47z + 6z2) = 0

Solving
35 + -47z + 6z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(5 + -6z)(7 + -1z) = 0


Subproblem 1
Set the factor '(5 + -6z)' equal to zero and attempt to solve:

Simplifying
5 + -6z = 0

Solving
5 + -6z = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6z = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6z = 0 + -5
-6z = 0 + -5

Combine like terms: 0 + -5 = -5
-6z = -5

Divide each side by '-6'.
z = 0.8333333333

Simplifying
z = 0.8333333333

Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve:

Simplifying
7 + -1z = 0

Solving
7 + -1z = 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 + -1z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1z = 0 + -7
-1z = 0 + -7

Combine like terms: 0 + -7 = -7
-1z = -7

Divide each side by '-1'.
z = 7

Simplifying
z = 7
Solution
z = {0.8333333333, 7}

See similar equations:

| .02x+.08(20000-x)=880 | | 2x^2-13x-13=2 | | 2x-3(4x-2)=-x+3(-3x+6) | | 3x+30=2(39) | | 8/2-3= | | -7h^2+3h+4=0 | | 6j(j+7)=0 | | 18x-72=6x | | 7-5x=43 | | 2d^2+12=12 | | 12xy^2+12x+12y-12x^2y-24xy= | | (-7x-8)+9=-6(x+1) | | v^2-40=-24 | | 1x+3y=-2 | | 24y-18=12y+30 | | ln(x-3)-ln(x+4)=3 | | 11/12-2/9 | | 2*x-4x+4=0 | | 9(3y-5)=20x-17 | | 7y+10=14 | | abs(3y+8)-1=0 | | s^2+1=37 | | Y=3/2lnx | | 21x+5=14x+9 | | 3m-2(m+7)=m+4 | | m-7m+3m-1= | | t^2=-97 | | 8v^2+8v+2=0 | | 15+3y=2.5-.5y | | 84d^2+32d=0 | | x^2-85=59 | | x+y+x-2y-x= |

Equations solver categories