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(x+3)(x-1)=0

2 min read Jun 16, 2024
(x+3)(x-1)=0

Solving the Equation (x+3)(x-1) = 0

This equation is a simple quadratic equation in factored form. To solve for x, 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.

Applying the Zero Product Property

Let's apply this to our equation:

(x + 3)(x - 1) = 0

This means that either:

  • (x + 3) = 0
  • (x - 1) = 0

Solving for x

Now we can solve each equation individually:

  • x + 3 = 0
    • Subtract 3 from both sides: x = -3
  • x - 1 = 0
    • Add 1 to both sides: x = 1

Conclusion

Therefore, the solutions to the equation (x + 3)(x - 1) = 0 are x = -3 and x = 1.

This means that if we substitute either -3 or 1 for x in the original equation, the equation will be true.

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