Question

solve 7y = -3ysquare -4

Answer 1

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Answer 2

$\large\mathsf{Given \ -}$

$\mathsf{7y \ = \ - 3y^2 - 4}$

$\mathsf{On \ rearranging}$

$\mathsf{3y^2 + 7y + 4 \ = \ 0}$

$\mathsf{3y^2 + 3y + 4y + 4 \ = \ 0}$

$\mathsf{3y(y + 1) + 4(y + 1) \ = \ 0}$

$\mathsf\red{(3y + 4)(y + 1) \ = \ 0}$

$\mathsf{(3y + 4) \ = \ 0, \ (y + 1) \ = \ 0}$
$<marquee>$
$\huge\mathsf\blue{\boxed{y \ = \ - 4 \ / \ 3, \ - 1}}$