Question

Solve the following quadratic equations by factorization:

3x² = -11x - 10

Answer 1

We have been given

3x² = -11x - 10

3x² + 11x + 10 = 0

3x² + 6x + 5x + 10 = 0

3x(x + 2) + 5(x + 2) = 0

(x + 2)(3x + 5) = 0

Therefore,

3x + 5 = 0

3x = -5

x = -5/3

or,

x + 2 = 0

x = -2

Hence, x = -5/3 or x = -2