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Simplifying 2tan(x + 10) + 3 = 5 Reorder the terms: 2ant(10 + x) + 3 = 5 (10 * 2ant + x * 2ant) + 3 = 5 (20ant + 2antx) + 3 = 5 Reorder the terms: 3 + 20ant + 2antx = 5 Solving 3 + 20ant + 2antx = 5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 20ant + -3 + 2antx = 5 + -3 Reorder the terms: 3 + -3 + 20ant + 2antx = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 20ant + 2antx = 5 + -3 20ant + 2antx = 5 + -3 Combine like terms: 5 + -3 = 2 20ant + 2antx = 2 Reorder the terms: -2 + 20ant + 2antx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 20ant + 2antx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 10ant + antx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 10ant + antx)' equal to zero and attempt to solve: Simplifying -1 + 10ant + antx = 0 Solving -1 + 10ant + antx = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10ant + 1 + antx = 0 + 1 Reorder the terms: -1 + 1 + 10ant + antx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10ant + antx = 0 + 1 10ant + antx = 0 + 1 Combine like terms: 0 + 1 = 1 10ant + antx = 1 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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