(4,2х-6,3)(5х+5,5)=0

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Expanding the equation, we get:

(45x + 45 -65)(35x + 3*5) = 0

(20x + 20 - 30)(15x + 15) = 0

(20x - 10)(15x + 15) = 0

300x^2 + 300x - 150x - 150 = 0

300x^2 + 150x - 150 = 0

Dividing by 150:

2x^2 + x - 1 = 0

This is a quadratic equation, and we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Plugging in the values a=2, b=1, and c=-1 we get:

x = (-1 ± √(1 + 8))/4

x = (-1 ± √9)/4

x = (-1 ± 3)/4

So the solutions are:

x = (-1 + 3)/4 = 1/2

x = (-1 - 3)/4 = -1