2x(x+5)(x-19)=0

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Solution for 2x(x+5)(x-19)=0 equation: 


Simplifying
2x(x + 5)(x + -19) = 0

Reorder the terms:
2x(5 + x)(x + -19) = 0

Reorder the terms:
2x(5 + x)(-19 + x) = 0

Multiply (5 + x) * (-19 + x)
2x(5(-19 + x) + x(-19 + x)) = 0
2x((-19 * 5 + x * 5) + x(-19 + x)) = 0
2x((-95 + 5x) + x(-19 + x)) = 0
2x(-95 + 5x + (-19 * x + x * x)) = 0
2x(-95 + 5x + (-19x + x2)) = 0

Combine like terms: 5x + -19x = -14x
2x(-95 + -14x + x2) = 0
(-95 * 2x + -14x * 2x + x2 * 2x) = 0
(-190x + -28x2 + 2x3) = 0

Solving
-190x + -28x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-95 + -14x + x2) = 0

Factor a trinomial.
2x((-5 + -1x)(19 + -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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 3
Set the factor '(19 + -1x)' equal to zero and attempt to solve:

Simplifying
19 + -1x = 0

Solving
19 + -1x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -1x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = 0 + -19
-1x = 0 + -19

Combine like terms: 0 + -19 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19
Solution
x = {0, -5, 19}

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