Question

1. solve for the two possible values of x: x(4x - 5) = 0 write all solutions on the same line, separated by commas.

Explanation:

Step1: Apply zero - product property

If \(ab = 0\), then either \(a=0\) or \(b = 0\). Here \(a=x\) and \(b = 4x-5\), so \(x=0\) or \(4x - 5=0\).

Step2: Solve \(4x - 5=0\) for \(x\)

Add 5 to both sides: \(4x=5\). Then divide both sides by 4, we get \(x=\frac{5}{4}\).

Answer:

\(0,\frac{5}{4}\)