Question

$\frac{2}{3} {x}^{2} - \frac{1}{3}x = 1$
Solve the above equation by Factorisation
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Answer 1

$\mathsf \red{Question : \: } \mathcal{ \frac{2}{3} {x}^{2} - \frac{1}{3} x = 1} \\ \\ \mathsf{ \frac{2 {x }^{2} - 1x}{3} = 1} \\ \\ \mathsf{2 {x}^{2} - x = 3} \\ \\ \mathsf{2 {x}^{2} - x - 3 = 0 } \\ \\ \mathsf{2 {x}^{2} + 2x - 3x - 3 = 0} \\ \\ \mathsf{2x(x + 1) - 3(x + 1) = 0} \\ \\ \mathsf{(x + 1).(2x - 3) = 0} \\ \\ \mathsf{x + 1 = 0 \: \: \: \: | \: \: 2x - 3 = 0} \\ \\ \mathsf{x = - 1 \: \: \: \: \: | \: \: \: x = \frac{3}{2} }$