Question

What is the product of x (4x + 6) = 28?​

Answer 1

$Given \:the \: product \:of \:x(4x+6) = 28$

$\implies x \times 2(2x+3) = 28$

/* Dividing bothsides by 2, we get */

$\implies x(2x+3) = 14$

$\implies 2x^{2}+3x-14=0$

/* Splitting the middle term, we get */

$\implies 2x^{2} +7x - 4x - 14 = 0$

$\implies x(2x+7) - 2(2x+7) = 0$

$\implies (2x+7)(x-2)=0$

$\implies 2x+7 = 0 \:Or \: x-2 = 0$

$\implies 2x = -7\:Or \: x = 2$

$\implies x = \frac{-7}{2} \:Or \: x = 2$

Therefore.,

$\green {x = \frac{-7}{2} \:Or \: x = 2}$

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Answer 2

Answer:

The answer above my answer is correct and I thank you