(Х-3)(3х+2)=(5х-4)(3х-2)
Expanding the left side(Х-3)(3х+2) = 3х^2 + 2x - 9x - 6 = 3х^2 - 7x - 6
Expanding the right side(5х-4)(3х-2) = 15х^2 - 10х - 12х + 8 = 15х^2 - 22x + 8
Setting the two sides equal to each other3х^2 - 7x - 6 = 15х^2 - 22x + 8
Combining like terms3x^2 - 7x - 6 = 15x^2 - 22x + -12x^2 + 15x^2 - 7x + 22x - 6 - 8 = 3x^2 - 29x - 14 = 0
This is the simplified equation.
(Х-3)(3х+2)=(5х-4)(3х-2)
Expanding the left side
(Х-3)(3х+2) = 3х^2 + 2x - 9x - 6 = 3х^2 - 7x - 6
Expanding the right side
(5х-4)(3х-2) = 15х^2 - 10х - 12х + 8 = 15х^2 - 22x + 8
Setting the two sides equal to each other
3х^2 - 7x - 6 = 15х^2 - 22x + 8
Combining like terms
3x^2 - 7x - 6 = 15x^2 - 22x +
-12x^2 + 15x^2 - 7x + 22x - 6 - 8 =
3x^2 - 29x - 14 = 0
This is the simplified equation.