Question

solve the following equatiom 3(2x+1)=2(x+4)'​

Answer 1

Answer:

$3(2x + 1) = 2(x + 4) \\ \\ = 6x + 3 = 2x + 8 \\ \\ = 6x - 2x = 8 - 3 \\ \\ = 4x = 5 \\ \\ = x = \frac{5}{4}$

Answer 2

Answer⤵️

3(2x−1)²+4(2x−1)−4=0

say t=2x−1, then⇒3t²+4t−4=0

⇒3t²+6t−2t−4=0

⇒3t(t+2)−2(t+2)=0

⇒(3t−2)(t+2)=0

$∴ \: t = \frac{2}{3} \: \: \: \: \: \: \: or \: \: \: \: \: \: t = - 2 \\ ⇒2x - 1 = \frac{2}{3} \: \: or \: \: 2x - 1 = - 2 \\ ⇒x = \frac{5}{9} \: \: \: or \: 2x = - 1 \\ ∴x = \frac{1}{2} or \: \frac{5}{6} \: \: or \: x = - \frac{1}{2}$

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