Question

Find all solutions to the given equation: (2x − 4)(x +5) = 0

Answer 1

x = -5,2

Explanation:

Given factor form, (2x − 4)(x +5) = 0

There are two factors of polynomial in binomial form.

So, set each factor to 0 and solve for x

First factor: 2x - 4

solve for x

2x - 4 = 0

2x = 4

x = 2

Second factor: x + 5

x + 5 = 0

x = -5

Solution: x = -5,2

Hence, the solutions of the equation are -5 and 2