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Simplifying 3sinh(X) = 2cosh(X) Multiply hins * X 3hinsX = 2cosh(X) Multiply chos * X 3hinsX = 2chosX Solving 3hinsX = 2chosX Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2chosX' to each side of the equation. -2chosX + 3hinsX = 2chosX + -2chosX Combine like terms: 2chosX + -2chosX = 0 -2chosX + 3hinsX = 0 Factor out the Greatest Common Factor (GCF), 'hsX'. hsX(-2co + 3in) = 0Subproblem 1
Set the factor 'hsX' equal to zero and attempt to solve: Simplifying hsX = 0 Solving hsX = 0 Move all terms containing h to the left, all other terms to the right. Simplifying hsX = 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 '(-2co + 3in)' equal to zero and attempt to solve: Simplifying -2co + 3in = 0 Solving -2co + 3in = 0 Move all terms containing h to the left, all other terms to the right. Add '2co' to each side of the equation. -2co + 2co + 3in = 0 + 2co Combine like terms: -2co + 2co = 0 0 + 3in = 0 + 2co 3in = 0 + 2co Remove the zero: 3in = 2co Add '-3in' to each side of the equation. 3in + -3in = 2co + -3in Combine like terms: 3in + -3in = 0 0 = 2co + -3in Simplifying 0 = 2co + -3in 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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