(3x-1)(-1/2x+5)=0

Jasonbradley

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Jun 16, 2024

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Solving the Equation: (3x-1)(-1/2x+5) = 0

This equation represents a quadratic expression in factored form. To solve for x, we can use the Zero Product Property. This property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Applying the Zero Product Property

1. Set each factor equal to zero:

   • 3x - 1 = 0
   • -1/2x + 5 = 0

2. Solve for x in each equation:

   • 3x = 1
   • x = 1/3
   • -1/2x = -5
   • x = -5 * (-2) = 10

Solutions

Therefore, the solutions to the equation (3x-1)(-1/2x+5) = 0 are:

• x = 1/3
• x = 10

These are the values of x that make the equation true.