Question

Solve...x(2x + 5) = 3 using factorisation method

Answer 1

Answer:

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$2x {}^{2} + 5x + 3$

$2x {}^{2} + 2x + 3x + 3$

$2x(x + 1) + 3(x + 1)$

$(2x + 3)(x + 1)$

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Answer 2

$since \: x(2x + 5) = 3 \\ 2 {x}^{2} + 5x = 3 \\ 2 {x}^{2} + 5x - 3 = 0 \\ 2 {x}^{2} + 6x - x - 3 = 0 \\ 2x(x + 3) - 1(x + 3) = 0 \\ (x + 3)(2x - 1) = 0 \\ = > x + 3 = 0 \: \: and \: \: 2x - 1 = 0 \\ = > x = - 3 \: and \: x = \frac{1}{2}$

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