(3x-5)(3x+5)=11

Solution for (3x-5)(3x+5)=11 equation:

Simplifying
(3x + -5)(3x + 5) = 11

Reorder the terms:
(-5 + 3x)(3x + 5) = 11

Reorder the terms:
(-5 + 3x)(5 + 3x) = 11

Multiply (-5 + 3x) * (5 + 3x)
(-5(5 + 3x) + 3x * (5 + 3x)) = 11
((5 * -5 + 3x * -5) + 3x * (5 + 3x)) = 11
((-25 + -15x) + 3x * (5 + 3x)) = 11
(-25 + -15x + (5 * 3x + 3x * 3x)) = 11
(-25 + -15x + (15x + 9x2)) = 11

Combine like terms: -15x + 15x = 0
(-25 + 0 + 9x2) = 11
(-25 + 9x2) = 11

Solving
-25 + 9x2 = 11

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 9x2 = 11 + 25

Combine like terms: -25 + 25 = 0
0 + 9x2 = 11 + 25
9x2 = 11 + 25

Combine like terms: 11 + 25 = 36
9x2 = 36

Divide each side by '9'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}