2x(x+3)(x-14)=0

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Solution for 2x(x+3)(x-14)=0 equation: 


Simplifying
2x(x + 3)(x + -14) = 0

Reorder the terms:
2x(3 + x)(x + -14) = 0

Reorder the terms:
2x(3 + x)(-14 + x) = 0

Multiply (3 + x) * (-14 + x)
2x(3(-14 + x) + x(-14 + x)) = 0
2x((-14 * 3 + x * 3) + x(-14 + x)) = 0
2x((-42 + 3x) + x(-14 + x)) = 0
2x(-42 + 3x + (-14 * x + x * x)) = 0
2x(-42 + 3x + (-14x + x2)) = 0

Combine like terms: 3x + -14x = -11x
2x(-42 + -11x + x2) = 0
(-42 * 2x + -11x * 2x + x2 * 2x) = 0
(-84x + -22x2 + 2x3) = 0

Solving
-84x + -22x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-42 + -11x + x2) = 0

Factor a trinomial.
2x((-3 + -1x)(14 + -1x)) = 0

Ignore the factor 2.

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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