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Simplifying 21sin(t) * cos(t) = -9cos(t) Multiply ins * t 21inst * cos * t = -9cos(t) Multiply inst * cos 21cinos2t * t = -9cos(t) Multiply cinos2t * t 21cinos2t2 = -9cos(t) Multiply cos * t 21cinos2t2 = -9cost Solving 21cinos2t2 = -9cost Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9cost' to each side of the equation. 21cinos2t2 + 9cost = -9cost + 9cost Combine like terms: -9cost + 9cost = 0 21cinos2t2 + 9cost = 0 Factor out the Greatest Common Factor (GCF), '3cost'. 3cost(7inst + 3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'cost' equal to zero and attempt to solve: Simplifying cost = 0 Solving cost = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cost = 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 '(7inst + 3)' equal to zero and attempt to solve: Simplifying 7inst + 3 = 0 Reorder the terms: 3 + 7inst = 0 Solving 3 + 7inst = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7inst = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7inst = 0 + -3 7inst = 0 + -3 Combine like terms: 0 + -3 = -3 7inst = -3 Add '-7inst' to each side of the equation. 7inst + -7inst = -3 + -7inst Combine like terms: 7inst + -7inst = 0 0 = -3 + -7inst Simplifying 0 = -3 + -7inst 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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