Question

(3x + a)(3x + b) = ab find solutions
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Answer 1

$\bf(3x + a)(3x + b) = ab \\ \rm {9x}^{2} + 3xb + 3xa + ab = ab \\ \rm{9x}^{2} + 3x(a + b) = ab - ab \\ \rm {9x}^{2} + 3x(a + b) = 0 \\ \rm3x[3x + (a + b)] = 0 \\ \rm 3x(3x + a + b) = 0 \\ \\ = > \sf x = \frac{0}{3} \: \: \: \: \: \: \: or \: \: \: \frac{ - a - b}{3} \\ \\ = > \sf x = \red0 \: \: \: \: \: \: \: \: or \: \: \: \: \: \frac{ \red- ( \red{a + b})}{ \red3}$