(x+5)(x-2) 0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+5)(x-2) = 0

This equation represents a quadratic expression set equal to zero. To solve it, we can use the Zero Product Property, which states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Steps:

1. Set each factor to zero:

   • x + 5 = 0
   • x - 2 = 0

2. Solve for x in each equation:

   • x = -5
   • x = 2

Therefore, the solutions to the equation (x+5)(x-2) = 0 are x = -5 and x = 2.

Explanation:

This equation represents a parabola that intersects the x-axis at two points. These points correspond to the solutions we found:

• x = -5: The parabola intersects the x-axis at the point (-5, 0).
• x = 2: The parabola intersects the x-axis at the point (2, 0).

In conclusion: By applying the Zero Product Property, we successfully solved the equation (x+5)(x-2) = 0 and found the solutions x = -5 and x = 2.