0=5(x-2)(x-15)

Solution for 0=5(x-2)(x-15) equation:

Simplifying
0 = 5(x + -2)(x + -15)

Reorder the terms:
0 = 5(-2 + x)(x + -15)

Reorder the terms:
0 = 5(-2 + x)(-15 + x)

Multiply (-2 + x) * (-15 + x)
0 = 5(-2(-15 + x) + x(-15 + x))
0 = 5((-15 * -2 + x * -2) + x(-15 + x))
0 = 5((30 + -2x) + x(-15 + x))
0 = 5(30 + -2x + (-15 * x + x * x))
0 = 5(30 + -2x + (-15x + x2))

Combine like terms: -2x + -15x = -17x
0 = 5(30 + -17x + x2)
0 = (30 * 5 + -17x * 5 + x2 * 5)
0 = (150 + -85x + 5x2)

Solving
0 = 150 + -85x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + -150 = -150
-150 + 85x + -5x2 = 150 + -85x + 5x2 + -150 + 85x + -5x2

Reorder the terms:
-150 + 85x + -5x2 = 150 + -150 + -85x + 85x + 5x2 + -5x2

Combine like terms: 150 + -150 = 0
-150 + 85x + -5x2 = 0 + -85x + 85x + 5x2 + -5x2
-150 + 85x + -5x2 = -85x + 85x + 5x2 + -5x2

Combine like terms: -85x + 85x = 0
-150 + 85x + -5x2 = 0 + 5x2 + -5x2
-150 + 85x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-150 + 85x + -5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-30 + 17x + -1x2) = 0

Factor a trinomial.
5((-15 + x)(2 + -1x)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Simplifying
x = 15
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {15, 2}