Solve the equation by the​ zero-factor property.

Question

x2+11x+30=0

Answer 1

To solve the equation by the zero-factor property, we set each factor equal to zero.

The equation is: x^2 + 11x + 30 = 0

(x + 6)(x + 5) = 0

Setting each factor equal to zero:

x + 6 = 0 or x + 5 = 0

Solving each equation:

For x + 6 = 0:
x = -6

For x + 5 = 0:
x = -5

Therefore, the solutions to the equation x^2 + 11x + 30 = 0 according to the zero-factor property are x = -6 and x = -5.