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(x+3)(x-2) 0

less than a minute read Jun 16, 2024
(x+3)(x-2) 0

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

This equation represents a quadratic expression set equal to zero. To solve for the values of x that satisfy the equation, we can use the Zero Product Property.

The Zero Product 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. Factor the expression: The equation is already factored: (x+3)(x-2) = 0

  2. Set each factor equal to zero:

    • x + 3 = 0
    • x - 2 = 0

  3. Solve for x:

    • x = -3
    • x = 2

Conclusion

Therefore, the solutions to the equation (x+3)(x-2) = 0 are x = -3 and x = 2. These values represent the points where the graph of the quadratic function would intersect the x-axis.

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