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Simplifying x = -3tan(2x) Remove parenthesis around (2x) x = -3ant * 2x Reorder the terms for easier multiplication: x = -3 * 2ant * x Multiply -3 * 2 x = -6ant * x Multiply ant * x x = -6antx Solving x = -6antx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6antx' to each side of the equation. 6antx + x = -6antx + 6antx Combine like terms: -6antx + 6antx = 0 6antx + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6ant + 1) = 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 '(6ant + 1)' equal to zero and attempt to solve: Simplifying 6ant + 1 = 0 Reorder the terms: 1 + 6ant = 0 Solving 1 + 6ant = 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 + 6ant = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6ant = 0 + -1 6ant = 0 + -1 Combine like terms: 0 + -1 = -1 6ant = -1 Add '-6ant' to each side of the equation. 6ant + -6ant = -1 + -6ant Combine like terms: 6ant + -6ant = 0 0 = -1 + -6ant Simplifying 0 = -1 + -6ant 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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