5x(x+10)(x-19)=0

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Solution for 5x(x+10)(x-19)=0 equation: 


Simplifying
5x(x + 10)(x + -19) = 0

Reorder the terms:
5x(10 + x)(x + -19) = 0

Reorder the terms:
5x(10 + x)(-19 + x) = 0

Multiply (10 + x) * (-19 + x)
5x(10(-19 + x) + x(-19 + x)) = 0
5x((-19 * 10 + x * 10) + x(-19 + x)) = 0
5x((-190 + 10x) + x(-19 + x)) = 0
5x(-190 + 10x + (-19 * x + x * x)) = 0
5x(-190 + 10x + (-19x + x2)) = 0

Combine like terms: 10x + -19x = -9x
5x(-190 + -9x + x2) = 0
(-190 * 5x + -9x * 5x + x2 * 5x) = 0
(-950x + -45x2 + 5x3) = 0

Solving
-950x + -45x2 + 5x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-190 + -9x + x2) = 0

Factor a trinomial.
5x((-10 + -1x)(19 + -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 '(-10 + -1x)' equal to zero and attempt to solve:

Simplifying
-10 + -1x = 0

Solving
-10 + -1x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 0 + 10
-1x = 0 + 10

Combine like terms: 0 + 10 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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, -10, 19}

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