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

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

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

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

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

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

Combine like terms: 3x + -3x = 0
5(-9 + 0 + x2) = 0
5(-9 + x2) = 0
(-9 * 5 + x2 * 5) = 0
(-45 + 5x2) = 0

Solving
-45 + 5x2 = 0

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 5x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 5x2 = 0 + 45
5x2 = 0 + 45

Combine like terms: 0 + 45 = 45
5x2 = 45

Divide each side by '5'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}