Question

$2x {}^{2} - 5x = 3$
mathematics

Answer 1

$2 {x}^{2} - 5x = 3 \\ \\ = > 2 {x }^{2} - 5x - 3 = 0 \\ \\ = > 2 {x}^{2} - (3 - 2)x - 3 = 0 \\ \\ = > 2 {x}^{2} - 3x + 2x - 3 = 0 \\ \\ = > x(2x - 3) + 1(2x - 3) = 0 \\ \\ = (x + 1)(2x - 3) = 0 \\ \\ \\ \\ \\ \\ x + 1 = 0 \\ \\ = > x = - 1 \\ \\ \\ \\ \\2x - 3 = 0 \\ \\ = > x = \frac{3}{2}$

Answer 2

$\underline{\bold{\red{SOLUTION}}}$ ➡

$\bold{2x {}^{2} - 5x = 3} \\ \\ \bold{ = > 2x {}^{2} - 5x - 3 = 0} \\ \\ \bold{ = >2 x {}^{2} - 6x + x - 3 = 0} \\ \\ \bold{ = > 2x(x - 3) + 1(x - 3) = 0} \\ \\ \bold{ = > (x - 3)(2x + 1) = 0}$

$\bold{Now,} \\ \\ \bold{x - 3 = 0} \\ \\ \bold{ = > x = 3} \\ \\ \\ \bold{Or,} \\ \\ \\ \bold{2x + 1 = 0} \\ \\ \bold{ = > 2x = - 1} \\ \\ \bold{ = > x = - \frac{1}{2} }$

$\bold{ \underline{ \red{ANSWER\: \: }}}$ ➡ $\boxed{\bold{x = 3 \: ,\: - \frac{1}{2} \: }}$

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✝$\mathfrak{\red{THANKS...}}$ ✝