(19x)(17x)(27x)=x

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Solution for (19x)(17x)(27x)=x equation:


Simplifying
(19x)(17x)(27x) = x

Remove parenthesis around (19x)
19x(17x)(27x) = x

Remove parenthesis around (17x)
19x * 17x(27x) = x

Remove parenthesis around (27x)
19x * 17x * 27x = x

Reorder the terms for easier multiplication:
19 * 17 * 27x * x * x = x

Multiply 19 * 17
323 * 27x * x * x = x

Multiply 323 * 27
8721x * x * x = x

Multiply x * x
8721x2 * x = x

Multiply x2 * x
8721x3 = x

Solving
8721x3 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 8721x3 = x + -1x

Combine like terms: x + -1x = 0
-1x + 8721x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 8721x2) = 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 + 8721x2)' equal to zero and attempt to solve: Simplifying -1 + 8721x2 = 0 Solving -1 + 8721x2 = 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 + 8721x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8721x2 = 0 + 1 8721x2 = 0 + 1 Combine like terms: 0 + 1 = 1 8721x2 = 1 Divide each side by '8721'. x2 = 0.0001146657493 Simplifying x2 = 0.0001146657493 Take the square root of each side: x = {-0.010708209, 0.010708209}

Solution

x = {0, -0.010708209, 0.010708209}

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