Question

Factorise the equation $6x^2+5x-6$.

Answer 1

Factorize the equation $6x^2+5x-6$.

Split the middle term of the equation as $9x-4x$, and take out the common term,

$\begin{array}{rcl}& \Rightarrow & 6x^2+9x-4x-6=3x\left(2x+3\right)-2\left(2x+3\right)\\ & =& \left(3x-2\right)\left(2x+3\right)\\ & & \end{array}$

Hence, factors of the equation are $\left(3x-2\right)$ and $\left(2x+3\right)$.