SOLUTION: Solve Equation. Find set solutions z 4z --- = ---- z+5 6z-4

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Question 890822: Solve Equation. Find set solutions
z 4z
--- = ----
z+5 6z-4
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This is the text to use:
z/(z+5)=(4z)/(6z-4)

z%2F%28z%2B5%29=%284z%29%2F%286z-4%29
Do not immediately divide by z both sides because you risk loosing a solution.
z%286z-4%29=4z%28z%2B5%29
6z%5E2-4z=4z%5E2%2B20z
2z%5E2-4z=20z
z%5E2-2z=10z
z%5E2-12z=0
highlight_green%28z%28z-12%29=0%29 and use zero-product rule.