Question

Factorise: 5+4x −12x^2

Answer 1

       $\underline{\bold{Solution:}}$

       $\text{The given quadratic equation is }5 + 4x - 12x^{2} = 0$

       $\text{Multiplying }-1 \text{ on both sides}$

$\implies 12x^{2} - 4x - 5 = 0$

       $\text{We can split }(-4x) \text{ as }(-10x+6x)$

$\implies 12x^{2} - 10x + 6x - 5 = 0$

       $\text{Simplifying...}$

$\implies 2x(6x - 5) +1(6x-5) = 0$

       $\text{Taking }(6x-5) \text{ common}$

$\implies (6x-5)(2x+1) = 0$

$\implies \boxed{x = \dfrac56,-\dfrac12}$