X(9x+11)(9x-11)=0

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Solution for X(9x+11)(9x-11)=0 equation:


Simplifying
X(9x + 11)(9x + -11) = 0

Reorder the terms:
X(11 + 9x)(9x + -11) = 0

Reorder the terms:
X(11 + 9x)(-11 + 9x) = 0

Multiply (11 + 9x) * (-11 + 9x)
X(11(-11 + 9x) + 9x * (-11 + 9x)) = 0
X((-11 * 11 + 9x * 11) + 9x * (-11 + 9x)) = 0
X((-121 + 99x) + 9x * (-11 + 9x)) = 0
X(-121 + 99x + (-11 * 9x + 9x * 9x)) = 0
X(-121 + 99x + (-99x + 81x2)) = 0

Combine like terms: 99x + -99x = 0
X(-121 + 0 + 81x2) = 0
X(-121 + 81x2) = 0
(-121 * X + 81x2 * X) = 0
(-121X + 81x2X) = 0

Solving
-121X + 81x2X = 0

Solving for variable 'X'.

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

Factor out the Greatest Common Factor (GCF), 'X'.
X(-121 + 81x2) = 0

Factor a difference between two squares.
X((11 + 9x)(-11 + 9x)) = 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 '(11 + 9x)' equal to zero and attempt to solve: Simplifying 11 + 9x = 0 Solving 11 + 9x = 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 + 9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = 0 + -11 9x = 0 + -11 Combine like terms: 0 + -11 = -11 9x = -11 Add '-9x' to each side of the equation. 9x + -9x = -11 + -9x Combine like terms: 9x + -9x = 0 0 = -11 + -9x Simplifying 0 = -11 + -9x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(-11 + 9x)' equal to zero and attempt to solve: Simplifying -11 + 9x = 0 Solving -11 + 9x = 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 + 9x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 9x = 0 + 11 9x = 0 + 11 Combine like terms: 0 + 11 = 11 9x = 11 Add '-9x' to each side of the equation. 9x + -9x = 11 + -9x Combine like terms: 9x + -9x = 0 0 = 11 + -9x Simplifying 0 = 11 + -9x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

X = {0}

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