Answer:
x = - 5, x = 1
Step-by-step explanation:
Given
x² + 4x - 5 = 0
To solve the quadratic equation by factoring.
Consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (+ 4)
The factors are + 5 and - 1, since
5 × - 1 = - 5 and + 5 - 1 = + 4, thus
(x + 5)(x - 1) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 1 = 0 ⇒ x = 1
