How do you solve $(6z - 5) = 0$ ?

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Answer 1 · 2017-05-13T14:13:17

See a solution process below:

First, remove the parenthesis, they are unnecessary:

$6z - 5 = 0$

Next, add $color(red)(5)$ to each side of the equation to isolate the $z$ term while keeping the equation balanced:

$6z - 5 + color(red)(5) = 0 + color(red)(5)$

$6z - 0 = 5$

$6z = 5$

Now, divide each side of the equation by $color(red)(6)$ to solve for $z$ while keeping the equation balanced:

$(6z)/color(red)(6) = 5/color(red)(6)$

$(color(red)(cancel(color(black)(6)))z)/cancel(color(red)(6)) = 5/6$

$z = 5/6$

How do you solve (6z - 5) = 0(6z - 5) = 0?