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Multiplication of Any Polynomial

Solve the fol...

Question

Solve the following.
$8 x^{2} - 22 x - 21 = 0$

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Solution

$8 x^{2} - 22 x - 21 = 0$
$8 x^{2} - 28 x + 6 x - 21 = 0$
$4 x (2 x - 7) + 3 (2 x - 7) = 0$
$(4 x + 3) (2 x - 7) = 0$
$4 x - 13 = 0$ or $2 x - 7 = 0$
$4 x = - 3$ or $2 x = 7$
$x = - 3 / 4$ $x = 7 / 2$

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x = - \frac{3}{4}, \frac{5}{2}

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