Sure, here are the solutions to the equation (2x - 5)(3x - 1) = 0:
When 2x - 5 = 0, we have 2x = 5, which gives x = 5/2 or x = 2.5.
When 3x - 1 = 0, we have 3x = 1, which gives x = 1/3 or x = 0.333.
Therefore, the solutions to the equation (2x - 5)(3x - 1) = 0 are x = 2.5 and x = 0.333.
Answer:
[tex]x=\frac{5}{2}[/tex] and [tex]x=\frac{1}{3}[/tex]
Step-by-step explanation:
To find the solutions to the equation:
[tex]\((2x - 5)(3x - 1) = 0\), we can use the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, we set each factor equal to zero and solve for \(x\):1. \(2x - 5 = 0\) Adding 5 to both sides: \(2x = 5\) Dividing both sides by 2: \(x = \frac{5}{2}\)2. \(3x - 1 = 0\) Adding 1 to both sides: \(3x = 1\) Dividing both sides by 3: \(x = \frac{1}{3}\)[/tex]
