(9x+21)(11x-1)x=

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Solution for (9x+21)(11x-1)x= equation: 


Simplifying
(9x + 21)(11x + -1) * x = 0

Reorder the terms:
(21 + 9x)(11x + -1) * x = 0

Reorder the terms:
(21 + 9x)(-1 + 11x) * x = 0

Reorder the terms for easier multiplication:
x(21 + 9x)(-1 + 11x) = 0

Multiply (21 + 9x) * (-1 + 11x)
x(21(-1 + 11x) + 9x * (-1 + 11x)) = 0
x((-1 * 21 + 11x * 21) + 9x * (-1 + 11x)) = 0
x((-21 + 231x) + 9x * (-1 + 11x)) = 0
x(-21 + 231x + (-1 * 9x + 11x * 9x)) = 0
x(-21 + 231x + (-9x + 99x2)) = 0

Combine like terms: 231x + -9x = 222x
x(-21 + 222x + 99x2) = 0
(-21 * x + 222x * x + 99x2 * x) = 0
(-21x + 222x2 + 99x3) = 0

Solving
-21x + 222x2 + 99x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-7 + 74x + 33x2) = 0

Factor a trinomial.
3x((-7 + -3x)(1 + -11x)) = 0

Ignore the factor 3.

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 '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 3
Set the factor '(1 + -11x)' equal to zero and attempt to solve:

Simplifying
1 + -11x = 0

Solving
1 + -11x = 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 + -11x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -11x = 0 + -1
-11x = 0 + -1

Combine like terms: 0 + -1 = -1
-11x = -1

Divide each side by '-11'.
x = 0.09090909091

Simplifying
x = 0.09090909091
Solution
x = {0, -2.333333333, 0.09090909091}

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