Question 195693
*[Tex \LARGE 6x^2-17x+13=20x^2-32]



*[Tex \LARGE 6x^2-17x+13-20x^2+32=0]



*[Tex \LARGE -14x^2-17x+45=0]



*[Tex \LARGE 14x^2+17x-45=0]



*[Tex \LARGE (2x+5)(7x-9)=0]



*[Tex \LARGE 2x+5=0] or *[Tex \LARGE 7x-9=0]



*[Tex \LARGE 2x=-5] or *[Tex \LARGE 7x=9]



*[Tex \LARGE x=-\frac{5}{2}] or *[Tex \LARGE x=\frac{9}{7}]



Answer: *[Tex \LARGE x=-\frac{5}{2}] or *[Tex \LARGE x=\frac{9}{7}]