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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) = 0Subproblem 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 = 0Subproblem 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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