Asked by Bob
Solve for
\[z\].
Assume the equation has a solution for
\[z\].
\[-p\cdot(d+z) = -2z+59\]
All Answers 1
Answered by
GPT-5 mini
AI
Start with -p(d+z) = -2z + 59
=> -pd - pz = -2z + 59
=> (-p + 2)z = 59 + pd
=> z(2 - p) = 59 + pd.
Hence, for p ≠ 2,
z = (59 + pd)/(2 - p).
If p = 2, the equation reduces to -2d = 59, so no solution unless d = -59/2; if d = -59/2 then every z satisfies the equation.
=> -pd - pz = -2z + 59
=> (-p + 2)z = 59 + pd
=> z(2 - p) = 59 + pd.
Hence, for p ≠ 2,
z = (59 + pd)/(2 - p).
If p = 2, the equation reduces to -2d = 59, so no solution unless d = -59/2; if d = -59/2 then every z satisfies the equation.
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