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Simplifying F(x) = 0.5tan(3x) Multiply F * x xF = 0.5tan(3x) Remove parenthesis around (3x) xF = 0.5ant * 3x Reorder the terms for easier multiplication: xF = 0.5 * 3ant * x Multiply 0.5 * 3 xF = 1.5ant * x Multiply ant * x xF = 1.5antx Solving xF = 1.5antx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5antx' to each side of the equation. -1.5antx + xF = 1.5antx + -1.5antx Combine like terms: 1.5antx + -1.5antx = 0.0 -1.5antx + xF = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1.5ant + F) = 0.0Subproblem 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 '(-1.5ant + F)' equal to zero and attempt to solve: Simplifying -1.5ant + F = 0 Reorder the terms: F + -1.5ant = 0 Solving F + -1.5ant = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -1.5ant = 0 + -1F Combine like terms: F + -1F = 0 0 + -1.5ant = 0 + -1F -1.5ant = 0 + -1F Remove the zero: -1.5ant = -1F Add '1.5ant' to each side of the equation. -1.5ant + 1.5ant = -1F + 1.5ant Combine like terms: -1.5ant + 1.5ant = 0.0 0.0 = -1F + 1.5ant Simplifying 0.0 = -1F + 1.5ant 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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