(11x)(3x)=x

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Solution for (11x)(3x)=x equation:


Simplifying
(11x)(3x) = x

Remove parenthesis around (11x)
11x(3x) = x

Remove parenthesis around (3x)
11x * 3x = x

Reorder the terms for easier multiplication:
11 * 3x * x = x

Multiply 11 * 3
33x * x = x

Multiply x * x
33x2 = x

Solving
33x2 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 33x2 = x + -1x

Combine like terms: x + -1x = 0
-1x + 33x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 33x) = 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 '(-1 + 33x)' equal to zero and attempt to solve: Simplifying -1 + 33x = 0 Solving -1 + 33x = 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 + 33x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 33x = 0 + 1 33x = 0 + 1 Combine like terms: 0 + 1 = 1 33x = 1 Divide each side by '33'. x = 0.0303030303 Simplifying x = 0.0303030303

Solution

x = {0, 0.0303030303}

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