Solve by factorisation - OCR - GCSE Maths - Question 15 - 2019 - Paper 6

To factor the equation, we need two binomials that multiply to give us the quadratic. The equation can be factored as follows:

$(5x + 1)(x + 2) = 0.$

Using the zero product property, we set each factor to zero:

1. $5x + 1 = 0$
   $5x = -1$
   $x = -\frac{1}{5}$

2. $x + 2 = 0$
   $x = -2$

Thus, the solutions are:

$x = -\frac{1}{5}$ or $x = -2$.