11*x(121+11*x)*(121+11*x)=0

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Solution for 11*x(121+11*x)*(121+11*x)=0 equation:


Simplifying
11x(121 + 11x)(121 + 11x) = 0

Multiply (121 + 11x) * (121 + 11x)
11x(121(121 + 11x) + 11x * (121 + 11x)) = 0
11x((121 * 121 + 11x * 121) + 11x * (121 + 11x)) = 0
11x((14641 + 1331x) + 11x * (121 + 11x)) = 0
11x(14641 + 1331x + (121 * 11x + 11x * 11x)) = 0
11x(14641 + 1331x + (1331x + 121x2)) = 0

Combine like terms: 1331x + 1331x = 2662x
11x(14641 + 2662x + 121x2) = 0
(14641 * 11x + 2662x * 11x + 121x2 * 11x) = 0
(161051x + 29282x2 + 1331x3) = 0

Solving
161051x + 29282x2 + 1331x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '1331x'.
1331x(121 + 22x + x2) = 0

Factor a trinomial.
1331x((11 + x)(11 + x)) = 0

Ignore the factor 1331.

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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Subproblem 3

Set the factor '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11

Solution

x = {0, -11, -11}

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