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x = 1 ; x = 8

Step-by-step explanation:

6x² - 5x + 10 = 5x² + 4x + 2

x² - 9x + 8 = 0

x² - 8x - x + 8 = 0

x(x - 8) - (x -8) = 0

(x - 8)(x - 1) = 0

x = 1, x = 8

x=8     x=1

Step-by-step explanation:

f(x) = g(x)

6x^2 -5x +10 = 5x^2 +4x+2

Subtract 5x^2 from each side

6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2

x^2 -5x +10 = 4x+2

Subtract 4x from each side

x^2 -5x-4x +10 = 4x-4x+2

x^2 -9x +10 = 2

Subtract 2 from each side

x^2 -9x +10-2 = 2-2

x^2 -9x +8 =0

Factor

What 2 numbers multiply to 8 and add to -9

-8 *-1 = 8

-8-1 = -9

(x-8) (x-1) =0

Using the zero product property

x-8 = 0   x-1 =0

x=8     x=1