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Simplifying G(x) = 8tan(4x) Multiply G * x xG = 8tan(4x) Remove parenthesis around (4x) xG = 8ant * 4x Reorder the terms for easier multiplication: xG = 8 * 4ant * x Multiply 8 * 4 xG = 32ant * x Multiply ant * x xG = 32antx Solving xG = 32antx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32antx' to each side of the equation. -32antx + xG = 32antx + -32antx Combine like terms: 32antx + -32antx = 0 -32antx + xG = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-32ant + G) = 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 '(-32ant + G)' equal to zero and attempt to solve: Simplifying -32ant + G = 0 Reorder the terms: G + -32ant = 0 Solving G + -32ant = 0 Move all terms containing x to the left, all other terms to the right. Add '-1G' to each side of the equation. G + -1G + -32ant = 0 + -1G Combine like terms: G + -1G = 0 0 + -32ant = 0 + -1G -32ant = 0 + -1G Remove the zero: -32ant = -1G Add '32ant' to each side of the equation. -32ant + 32ant = -1G + 32ant Combine like terms: -32ant + 32ant = 0 0 = -1G + 32ant Simplifying 0 = -1G + 32ant 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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