Question

find the solutions of 4s²-12s = -9 by factoring​

Answer 1

Steps Using Factoring By Grouping

$4 {s}^{2} - 12s = - 9$

$4 {s}^{2} - 12s + 9 = 0$

$(4 {s}^{2} - 6s) + ( - 6s + 9) = 0$

$2s(2s - 3) - 3(2s - 3) = 0$

$(2s - 3)(2s - 3) = 0$

$(2s - 3) {}^{2} = 0$

 ‍ 

$2 s - 3 = 0$

$\: \: \: \: \: \: \: 2s = 0 + 3$

$\: \: \: \: \: \: \: 2s = 3$

$\: \: \: \: \: \: \: \: \: s = \frac{3}{2}$

$\: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2}$

$\: \: \: \: \: \: \: \: \: s = 1,5$

$\green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}$

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