Verified answer

(sq root of 4x+1) multiplied by -(square root of x-2)

= - (sq root of (4x+1) multiplied by (x-2))

= - (sq root of (4x^2 - 7x -2 ))

Multiplying Square Roots With Variables

Square Roots With Variables

You undo the square roots

(sq root of 4x+1)^2 multiplied by -(square root of x-2)^2

(4x + 1)(-x - 2)

= -4x^2 - 8x - x - 2

= -4x^2 - 9x - 2

Put to standard form and move everything to the other side because you want x^2 always positive

0 = -4x^2 - 9x - 2

4x^2 + 9x + 2 = 0

(x + 8)(x + 1) = 0

x = -8

x = -1