x(x-14)(5x-15)=0

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Solution for x(x-14)(5x-15)=0 equation: 


Simplifying
x(x + -14)(5x + -15) = 0

Reorder the terms:
x(-14 + x)(5x + -15) = 0

Reorder the terms:
x(-14 + x)(-15 + 5x) = 0

Multiply (-14 + x) * (-15 + 5x)
x(-14(-15 + 5x) + x(-15 + 5x)) = 0
x((-15 * -14 + 5x * -14) + x(-15 + 5x)) = 0
x((210 + -70x) + x(-15 + 5x)) = 0
x(210 + -70x + (-15 * x + 5x * x)) = 0
x(210 + -70x + (-15x + 5x2)) = 0

Combine like terms: -70x + -15x = -85x
x(210 + -85x + 5x2) = 0
(210 * x + -85x * x + 5x2 * x) = 0
(210x + -85x2 + 5x3) = 0

Solving
210x + -85x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(42 + -17x + x2) = 0

Factor a trinomial.
5x((3 + -1x)(14 + -1x)) = 0

Ignore the factor 5.

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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 3
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
Solution
x = {0, 3, 14}

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