Question 202303
{{{2(4x-1)(3x+4)=(4x+3)(6x-1)}}} Start with the given equation.



{{{2(12x^2+13x-4)=24x^2+14x-3}}} FOIL



{{{24x^2+26x-8=24x^2+14x-3}}} Distribute



{{{24x^2+26x-8-24x^2-14x+3=0}}} Get all terms to the left side.



{{{12x-5=0}}} Combine like terms.



{{{12x=0+5}}} Add {{{5}}} to both sides.



{{{12x=5}}} Combine like terms on the right side.



{{{x=(5)/(12)}}} Divide both sides by {{{12}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=5/12}}} which approximates to {{{x=0.417}}}.