(2x-1)(x+9) 0

Jasonbradley

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Jun 16, 2024

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Solving the Equation (2x-1)(x+9) = 0

This equation is a quadratic equation in factored form. To solve it, we can utilize 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.

Here's how to solve the equation:

1. Set each factor equal to zero:

   • 2x - 1 = 0
   • x + 9 = 0

2. Solve for x in each equation:

   • 2x = 1
   • x = 1/2
   • x = -9

Therefore, the solutions to the equation (2x-1)(x+9) = 0 are x = 1/2 and x = -9.

Explanation:

• When x = 1/2, the first factor (2x - 1) becomes zero, making the entire product equal to zero.
• When x = -9, the second factor (x + 9) becomes zero, again making the entire product equal to zero.

In conclusion, the equation (2x-1)(x+9) = 0 has two solutions: x = 1/2 and x = -9.