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Simplifying e(z2) = e(3z) Multiply e * z2 ez2 = e(3z) Remove parenthesis around (3z) ez2 = e * 3z Reorder the terms for easier multiplication: ez2 = 3e * z Multiply e * z ez2 = 3ez Solving ez2 = 3ez Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '-3ez' to each side of the equation. -3ez + ez2 = 3ez + -3ez Combine like terms: 3ez + -3ez = 0 -3ez + ez2 = 0 Factor out the Greatest Common Factor (GCF), 'ez'. ez(-3 + z) = 0Subproblem 1
Set the factor 'ez' equal to zero and attempt to solve: Simplifying ez = 0 Solving ez = 0 Move all terms containing e to the left, all other terms to the right. Simplifying ez = 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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