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 = (3)/(2)`

`\: \: \: \: \: \: \: \: \: s = 1 (1)/(2)`

`\: \: \: \: \: \: \: \: \: s = 1,5`

`\green {\boxed{s = (3)/(2) = 1 (1)/(2) =1,5}}`

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