(3x+5)(3x-5)=0

Solution for (3x+5)(3x-5)=0 equation:

Simplifying
(3x + 5)(3x + -5) = 0

Reorder the terms:
(5 + 3x)(3x + -5) = 0

Reorder the terms:
(5 + 3x)(-5 + 3x) = 0

Multiply (5 + 3x) * (-5 + 3x)
(5(-5 + 3x) + 3x * (-5 + 3x)) = 0
((-5 * 5 + 3x * 5) + 3x * (-5 + 3x)) = 0
((-25 + 15x) + 3x * (-5 + 3x)) = 0
(-25 + 15x + (-5 * 3x + 3x * 3x)) = 0
(-25 + 15x + (-15x + 9x2)) = 0

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

Solving
-25 + 9x2 = 0

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 = 0 + 25

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

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

Divide each side by '9'.
x2 = 2.777777778

Simplifying
x2 = 2.777777778

Take the square root of each side:
x = {-1.666666667, 1.666666667}