head=ache

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Solution for head=ache equation:


Simplifying
head = ache

Solving
adeh = aceh

Solving for variable 'a'.

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

Add '-1aceh' to each side of the equation.
-1aceh + adeh = aceh + -1aceh

Combine like terms: aceh + -1aceh = 0
-1aceh + adeh = 0

Factor out the Greatest Common Factor (GCF), 'aeh'.
aeh(-1c + d) = 0

Subproblem 1

Set the factor 'aeh' equal to zero and attempt to solve: Simplifying aeh = 0 Solving aeh = 0 Move all terms containing a to the left, all other terms to the right. Simplifying aeh = 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 '(-1c + d)' equal to zero and attempt to solve: Simplifying -1c + d = 0 Solving -1c + d = 0 Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. -1c + c + d = 0 + c Combine like terms: -1c + c = 0 0 + d = 0 + c d = 0 + c Remove the zero: d = c Add '-1d' to each side of the equation. d + -1d = c + -1d Combine like terms: d + -1d = 0 0 = c + -1d Simplifying 0 = c + -1d 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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