Answer:
x=2 or x= -4/3
Step-by-step explanation:
For the equation:
[tex](x-2)(3x+4)=0[/tex]
[tex]x(3x)+x(4)-2(3x)-2(4)=0\\\\3x^2+4x-6x-8=0\\\\[/tex]
Solving the like terms:
[tex]3x^2-2x-8=0[/tex]
Solving the equation for 'x' using factorization:
[tex]3x^2-2x-8=0\\\\3x^2-6x+4x-8=0[/tex]
Taking common from the equation:
[tex]3x(x-2)+4(x-2)=0\\\\(x-2)(3x+4)=0\\\\[/tex]
[tex]x-2=0\\\\x=2[/tex]
OR
[tex]3x+4=0\\\\3x=-4\\\\x=-4/3[/tex]
