20x(10x+1)(x-2)=

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Solution for 20x(10x+1)(x-2)= equation: 


Simplifying
20x(10x + 1)(x + -2) = 0

Reorder the terms:
20x(1 + 10x)(x + -2) = 0

Reorder the terms:
20x(1 + 10x)(-2 + x) = 0

Multiply (1 + 10x) * (-2 + x)
20x(1(-2 + x) + 10x * (-2 + x)) = 0
20x((-2 * 1 + x * 1) + 10x * (-2 + x)) = 0
20x((-2 + 1x) + 10x * (-2 + x)) = 0
20x(-2 + 1x + (-2 * 10x + x * 10x)) = 0
20x(-2 + 1x + (-20x + 10x2)) = 0

Combine like terms: 1x + -20x = -19x
20x(-2 + -19x + 10x2) = 0
(-2 * 20x + -19x * 20x + 10x2 * 20x) = 0
(-40x + -380x2 + 200x3) = 0

Solving
-40x + -380x2 + 200x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20x'.
20x(-2 + -19x + 10x2) = 0

Factor a trinomial.
20x((-1 + -10x)(2 + -1x)) = 0

Ignore the factor 20.

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 + -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

Subproblem 3
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
Solution
x = {0, -0.1, 2}

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