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Simplifying F(x) = 2sin(x) + 3cos(x) Multiply F * x xF = 2sin(x) + 3cos(x) Multiply ins * x xF = 2insx + 3cos(x) Multiply cos * x xF = 2insx + 3cosx Reorder the terms: xF = 3cosx + 2insx Solving xF = 3cosx + 2insx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3cosx' to each side of the equation. -3cosx + xF = 3cosx + -3cosx + 2insx Combine like terms: 3cosx + -3cosx = 0 -3cosx + xF = 0 + 2insx -3cosx + xF = 2insx Add '-2insx' to each side of the equation. -3cosx + -2insx + xF = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 -3cosx + -2insx + xF = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-3cos + -2ins + F) = 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 '(-3cos + -2ins + F)' equal to zero and attempt to solve: Simplifying -3cos + -2ins + F = 0 Reorder the terms: F + -3cos + -2ins = 0 Solving F + -3cos + -2ins = 0 Move all terms containing x to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -3cos + -1F + -2ins = 0 + -1F Reorder the terms: F + -1F + -3cos + -2ins = 0 + -1F Combine like terms: F + -1F = 0 0 + -3cos + -2ins = 0 + -1F -3cos + -2ins = 0 + -1F Remove the zero: -3cos + -2ins = -1F Add '3cos' to each side of the equation. -3cos + 3cos + -2ins = -1F + 3cos Combine like terms: -3cos + 3cos = 0 0 + -2ins = -1F + 3cos -2ins = -1F + 3cos Add '2ins' to each side of the equation. -2ins + 2ins = -1F + 3cos + 2ins Combine like terms: -2ins + 2ins = 0 0 = -1F + 3cos + 2ins Simplifying 0 = -1F + 3cos + 2ins 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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