Question

2x^2+5/6x+1/12 factorize it​

Answer 1

Answer

$2 {x}^{2} + \frac{5}{6} x + \frac{1}{12 } = 0 \\ \bf{ \bold{ \mathcal{multiply \: throughout \: by}}} \: \bf{ \bold{ \mathbb{ \red{1}}}}\bf{ \bold{ \mathbb{ \blue{2}}}} \\ 12(2 {x}^{2} + \frac{5}{6} x + \frac{1}{12 } ) = 0 \times 12 \\ 24 {x}^{2} + 10x + 1 = 0 \\ 24 {x}^{2} + 6x + 4x + 1 = 0 \\ 6x(4x + 1) + 1(4x + 1) = 0 \\(6x + 1)(4x + 1) = 0 \\ 6x + 1 = 0 \: \: \: \: \: : \: \: \: 4x + 1 = 0 \\ x = \bf{ \bold{ \mathbb{ \green{ \frac{ - 1}{6} }}}} \: and \: \bf{ \bold{ \mathbb{ \orange{ \frac{ - 1}{4} }}}}$

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