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

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

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

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

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

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

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

Solving
0 = -25 + 9x2

Solving for variable 'x'.

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

Add '-9x2' to each side of the equation.
0 + -9x2 = -25 + 9x2 + -9x2
Remove the zero:
-9x2 = -25 + 9x2 + -9x2

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