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Simplifying tan(6x3 + 3x) = 0 Reorder the terms: ant(3x + 6x3) = 0 (3x * ant + 6x3 * ant) = 0 (3antx + 6antx3) = 0 Solving 3antx + 6antx3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3antx'. 3antx(1 + 2x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'antx' equal to zero and attempt to solve: Simplifying antx = 0 Solving antx = 0 Move all terms containing a to the left, all other terms to the right. Simplifying antx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 2x2)' equal to zero and attempt to solve: Simplifying 1 + 2x2 = 0 Solving 1 + 2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x2 = 0 + -1 2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x2 = -1 Add '-2x2' to each side of the equation. 2x2 + -2x2 = -1 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = -1 + -2x2 Simplifying 0 = -1 + -2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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