Solve for x: 12abx² - (9a² - 8b²)x - 6ab = 0

1.	Solve for x: 12abx² - (9a² - 8b²)x - 6ab = 0
Answer» ⠀⠀ıllıllı uoᴉʇnloS ıllıllı $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$ We have, 12abx² - (9a² - 8b²)X - 6AB = 0 ➠ $12abx^{2} - 9a ^{2} x - 6ab = 0$ ➠ $3ax(4bx - 3a) + 2b(4bx - 3a) = 0$ ➠ $(4bx - 3a)(3ax + 2b) = 0$ ➠ $4bx - 3a = 0 \: or \: 3ax + 2b \: = 0$ ➠ $4bx = 3a \: or \: 3ax \: = - 2b$ ➠ $x = \frac{3a}{4b} \: \: or \: \: x = \frac{ - 2b}{3a }$ $\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

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