2x(5x-1)(x+2)=0

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Solution for 2x(5x-1)(x+2)=0 equation: 


Simplifying
2x(5x + -1)(x + 2) = 0

Reorder the terms:
2x(-1 + 5x)(x + 2) = 0

Reorder the terms:
2x(-1 + 5x)(2 + x) = 0

Multiply (-1 + 5x) * (2 + x)
2x(-1(2 + x) + 5x * (2 + x)) = 0
2x((2 * -1 + x * -1) + 5x * (2 + x)) = 0
2x((-2 + -1x) + 5x * (2 + x)) = 0
2x(-2 + -1x + (2 * 5x + x * 5x)) = 0
2x(-2 + -1x + (10x + 5x2)) = 0

Combine like terms: -1x + 10x = 9x
2x(-2 + 9x + 5x2) = 0
(-2 * 2x + 9x * 2x + 5x2 * 2x) = 0
(-4x + 18x2 + 10x3) = 0

Solving
-4x + 18x2 + 10x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-2 + 9x + 5x2) = 0

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 3
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {0, -2, 0.2}

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