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Simplifying 3 + -2tan(x + 30) * tan(60 + -1x) = 1 Reorder the terms: 3 + -2ant(30 + x) * tan(60 + -1x) = 1 Reorder the terms for easier multiplication: 3 + -2ant * ant(30 + x)(60 + -1x) = 1 Multiply ant * ant 3 + -2a2n2t2(30 + x)(60 + -1x) = 1 Multiply (30 + x) * (60 + -1x) 3 + -2a2n2t2(30(60 + -1x) + x(60 + -1x)) = 1 3 + -2a2n2t2((60 * 30 + -1x * 30) + x(60 + -1x)) = 1 3 + -2a2n2t2((1800 + -30x) + x(60 + -1x)) = 1 3 + -2a2n2t2(1800 + -30x + (60 * x + -1x * x)) = 1 3 + -2a2n2t2(1800 + -30x + (60x + -1x2)) = 1 Combine like terms: -30x + 60x = 30x 3 + -2a2n2t2(1800 + 30x + -1x2) = 1 3 + (1800 * -2a2n2t2 + 30x * -2a2n2t2 + -1x2 * -2a2n2t2) = 1 3 + (-3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2) = 1 Solving 3 + -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = 1 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 + -3600a2n2t2 + -60a2n2t2x + -3 + 2a2n2t2x2 = 1 + -3 Reorder the terms: 3 + -3 + -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = 1 + -3 -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = 1 + -3 Combine like terms: 1 + -3 = -2 -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = -2 Reorder the terms: 2 + -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + -3600a2n2t2 + -60a2n2t2x + 2a2n2t2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1 + -1800a2n2t2 + -30a2n2t2x + a2n2t2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1800a2n2t2 + -30a2n2t2x + a2n2t2x2)' equal to zero and attempt to solve: Simplifying 1 + -1800a2n2t2 + -30a2n2t2x + a2n2t2x2 = 0 Solving 1 + -1800a2n2t2 + -30a2n2t2x + a2n2t2x2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1800a2n2t2 + -30a2n2t2x + -1 + a2n2t2x2 = 0 + -1 Reorder the terms: 1 + -1 + -1800a2n2t2 + -30a2n2t2x + a2n2t2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1800a2n2t2 + -30a2n2t2x + a2n2t2x2 = 0 + -1 -1800a2n2t2 + -30a2n2t2x + a2n2t2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1800a2n2t2 + -30a2n2t2x + a2n2t2x2 = -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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