(4m+2)(3m-9)=0

Jasonbradley

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Jun 16, 2024

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Solving the Equation (4m + 2)(3m - 9) = 0

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

Applying the Zero Product Property

1. Set each factor equal to zero:

   • 4m + 2 = 0
   • 3m - 9 = 0

2. Solve each equation for m:

   • 4m = -2

   • m = -2/4

   • m = -1/2

   • 3m = 9

   • m = 9/3

   • m = 3

Solutions

Therefore, the solutions to the equation (4m + 2)(3m - 9) = 0 are m = -1/2 and m = 3.

In summary:

• The equation is in factored form.
• The Zero Product Property allows us to solve for m by setting each factor equal to zero.
• Solving each equation results in two solutions: m = -1/2 and m = 3.