(ab)c=a(cd)

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Solution for (ab)c=a(cd) equation:


Simplifying
(ab) * c = a(cd)

Multiply ab * c
abc = a(cd)

Multiply a * cd
abc = acd

Solving
abc = acd

Solving for variable 'a'.

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

Add '-1acd' to each side of the equation.
abc + -1acd = acd + -1acd

Combine like terms: acd + -1acd = 0
abc + -1acd = 0

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

Subproblem 1

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