(2sqrtx+3)*(-2sqrtx+3)=

Solution for (2sqrtx+3)*(-2sqrtx+3)= equation:

Simplifying
(2sqrtx + 3)(-2sqrtx + 3) = 0

Reorder the terms:
(3 + 2qrstx)(-2sqrtx + 3) = 0

Reorder the terms:
(3 + 2qrstx)(3 + -2qrstx) = 0

Multiply (3 + 2qrstx) * (3 + -2qrstx)
(3(3 + -2qrstx) + 2qrstx * (3 + -2qrstx)) = 0
((3 * 3 + -2qrstx * 3) + 2qrstx * (3 + -2qrstx)) = 0
((9 + -6qrstx) + 2qrstx * (3 + -2qrstx)) = 0
(9 + -6qrstx + (3 * 2qrstx + -2qrstx * 2qrstx)) = 0
(9 + -6qrstx + (6qrstx + -4q2r2s2t2x2)) = 0

Combine like terms: -6qrstx + 6qrstx = 0
(9 + 0 + -4q2r2s2t2x2) = 0
(9 + -4q2r2s2t2x2) = 0

Solving
9 + -4q2r2s2t2x2 = 0

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -4q2r2s2t2x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4q2r2s2t2x2 = 0 + -9
-4q2r2s2t2x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4q2r2s2t2x2 = -9

Divide each side by '-4r2s2t2x2'.
q2 = 2.25r-2s-2t-2x-2

Simplifying
q2 = 2.25r-2s-2t-2x-2

Take the square root of each side:
q = {-1.5r-1s-1t-1x-1, 1.5r-1s-1t-1x-1}