x(9x+2)(x-1)=0

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Solution for x(9x+2)(x-1)=0 equation: 


Simplifying
x(9x + 2)(x + -1) = 0

Reorder the terms:
x(2 + 9x)(x + -1) = 0

Reorder the terms:
x(2 + 9x)(-1 + x) = 0

Multiply (2 + 9x) * (-1 + x)
x(2(-1 + x) + 9x * (-1 + x)) = 0
x((-1 * 2 + x * 2) + 9x * (-1 + x)) = 0
x((-2 + 2x) + 9x * (-1 + x)) = 0
x(-2 + 2x + (-1 * 9x + x * 9x)) = 0
x(-2 + 2x + (-9x + 9x2)) = 0

Combine like terms: 2x + -9x = -7x
x(-2 + -7x + 9x2) = 0
(-2 * x + -7x * x + 9x2 * x) = 0
(-2x + -7x2 + 9x3) = 0

Solving
-2x + -7x2 + 9x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + -7x + 9x2) = 0

Factor a trinomial.
x((-2 + -9x)(1 + -1x)) = 0


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 + -9x)' equal to zero and attempt to solve:

Simplifying
-2 + -9x = 0

Solving
-2 + -9x = 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 + -9x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -9x = 0 + 2
-9x = 0 + 2

Combine like terms: 0 + 2 = 2
-9x = 2

Divide each side by '-9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

Subproblem 3
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
Solution
x = {0, -0.2222222222, 1}

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