sinh(x)=cosh(x)

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Solution for sinh(x)=cosh(x) equation:


Simplifying
sinh(x) = cosh(x)

Multiply hins * x
hinsx = cosh(x)

Multiply chos * x
hinsx = chosx

Solving
hinsx = chosx

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-1chosx' to each side of the equation.
-1chosx + hinsx = chosx + -1chosx

Combine like terms: chosx + -1chosx = 0
-1chosx + hinsx = 0

Factor out the Greatest Common Factor (GCF), 'hsx'.
hsx(-1co + in) = 0

Subproblem 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 '(-1co + in)' equal to zero and attempt to solve: Simplifying -1co + in = 0 Solving -1co + in = 0 Move all terms containing h to the left, all other terms to the right. Add 'co' to each side of the equation. -1co + co + in = 0 + co Combine like terms: -1co + co = 0 0 + in = 0 + co in = 0 + co Remove the zero: in = co Add '-1in' to each side of the equation. in + -1in = co + -1in Combine like terms: in + -1in = 0 0 = co + -1in Simplifying 0 = co + -1in 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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