4(x-1)(x-15)=0

Solution for 4(x-1)(x-15)=0 equation:

Simplifying
4(x + -1)(x + -15) = 0

Reorder the terms:
4(-1 + x)(x + -15) = 0

Reorder the terms:
4(-1 + x)(-15 + x) = 0

Multiply (-1 + x) * (-15 + x)
4(-1(-15 + x) + x(-15 + x)) = 0
4((-15 * -1 + x * -1) + x(-15 + x)) = 0
4((15 + -1x) + x(-15 + x)) = 0
4(15 + -1x + (-15 * x + x * x)) = 0
4(15 + -1x + (-15x + x2)) = 0

Combine like terms: -1x + -15x = -16x
4(15 + -16x + x2) = 0
(15 * 4 + -16x * 4 + x2 * 4) = 0
(60 + -64x + 4x2) = 0

Solving
60 + -64x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(15 + -16x + x2) = 0

Factor a trinomial.
4((1 + -1x)(15 + -1x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

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

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {1, 15}