Rearrange formulas to highlight a chosen quantity across the expression types studied.
Rearrange a formula when the target variable is mixed across terms
Problem
Rearrange \(A~=~xy~+~xz\) to isolate \(x\), including the required condition.
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What this problem is really about
When the target appears in several terms, do not try to undo each term separately. Factor the target first so the entire remaining sum becomes one multiplier, then divide by that multiplier. The nonzero restriction applies to the complete sum, since two individually nonzero values can still add to zero.
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