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Simplifying 2tg(45 + -1x) = 3tgx (45 * 2gt + -1x * 2gt) = 3tgx (90gt + -2gtx) = 3tgx Solving 90gt + -2gtx = 3gtx Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3gtx' to each side of the equation. 90gt + -2gtx + -3gtx = 3gtx + -3gtx Combine like terms: -2gtx + -3gtx = -5gtx 90gt + -5gtx = 3gtx + -3gtx Combine like terms: 3gtx + -3gtx = 0 90gt + -5gtx = 0 Factor out the Greatest Common Factor (GCF), '5gt'. 5gt(18 + -1x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'gt' equal to zero and attempt to solve: Simplifying gt = 0 Solving gt = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gt = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Add 'x' to each side of the equation. -1x + x = -18 + x Combine like terms: -1x + x = 0 0 = -18 + x Simplifying 0 = -18 + x 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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