ex(z^2)=ex(3z)

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Solution for ex(z^2)=ex(3z) equation:


Simplifying
ex(z2) = ex(3z)

Multiply ex * z2
exz2 = ex(3z)

Remove parenthesis around (3z)
exz2 = ex * 3z

Reorder the terms for easier multiplication:
exz2 = 3ex * z

Multiply ex * z
exz2 = 3exz

Solving
exz2 = 3exz

Solving for variable 'e'.

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

Add '-3exz' to each side of the equation.
-3exz + exz2 = 3exz + -3exz

Combine like terms: 3exz + -3exz = 0
-3exz + exz2 = 0

Factor out the Greatest Common Factor (GCF), 'exz'.
exz(-3 + z) = 0

Subproblem 1

Set the factor 'exz' equal to zero and attempt to solve: Simplifying exz = 0 Solving exz = 0 Move all terms containing e to the left, all other terms to the right. Simplifying exz = 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 '(-3 + z)' equal to zero and attempt to solve: Simplifying -3 + z = 0 Solving -3 + z = 0 Move all terms containing e to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + z = 0 + 3 z = 0 + 3 Combine like terms: 0 + 3 = 3 z = 3 Add '-1z' to each side of the equation. z + -1z = 3 + -1z Combine like terms: z + -1z = 0 0 = 3 + -1z Simplifying 0 = 3 + -1z 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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