x(x+14)(x-1)=0

Solution for x(x+14)(x-1)=0 equation:

Simplifying
x(x + 14)(x + -1) = 0

Reorder the terms:
x(14 + x)(x + -1) = 0

Reorder the terms:
x(14 + x)(-1 + x) = 0

Multiply (14 + x) * (-1 + x)
x(14(-1 + x) + x(-1 + x)) = 0
x((-1 * 14 + x * 14) + x(-1 + x)) = 0
x((-14 + 14x) + x(-1 + x)) = 0
x(-14 + 14x + (-1 * x + x * x)) = 0
x(-14 + 14x + (-1x + x2)) = 0

Combine like terms: 14x + -1x = 13x
x(-14 + 13x + x2) = 0
(-14 * x + 13x * x + x2 * x) = 0
(-14x + 13x2 + x3) = 0

Solving
-14x + 13x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + 13x + x2) = 0

Factor a trinomial.
x((-14 + -1x)(1 + -1x)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 3
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
Solution
x = {0, -14, 1}