6x(10x-1)(x+1)=0

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Solution for 6x(10x-1)(x+1)=0 equation: 


Simplifying
6x(10x + -1)(x + 1) = 0

Reorder the terms:
6x(-1 + 10x)(x + 1) = 0

Reorder the terms:
6x(-1 + 10x)(1 + x) = 0

Multiply (-1 + 10x) * (1 + x)
6x(-1(1 + x) + 10x * (1 + x)) = 0
6x((1 * -1 + x * -1) + 10x * (1 + x)) = 0
6x((-1 + -1x) + 10x * (1 + x)) = 0
6x(-1 + -1x + (1 * 10x + x * 10x)) = 0
6x(-1 + -1x + (10x + 10x2)) = 0

Combine like terms: -1x + 10x = 9x
6x(-1 + 9x + 10x2) = 0
(-1 * 6x + 9x * 6x + 10x2 * 6x) = 0
(-6x + 54x2 + 60x3) = 0

Solving
-6x + 54x2 + 60x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1 + 9x + 10x2) = 0

Factor a trinomial.
6x((-1 + -1x)(1 + -10x)) = 0

Ignore the factor 6.

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 '(-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

Subproblem 3
Set the factor '(1 + -10x)' equal to zero and attempt to solve:

Simplifying
1 + -10x = 0

Solving
1 + -10x = 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 + -10x = 0 + -1

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

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

Divide each side by '-10'.
x = 0.1

Simplifying
x = 0.1
Solution
x = {0, -1, 0.1}

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