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Simplifying z2 + 2zp + p2 = 0 Reorder the terms: 2pz + p2 + z2 = 0 Solving 2pz + p2 + z2 = 0 Solving for variable 'p'. Factor a trinomial. (p + z)(p + z) = 0Subproblem 1
Set the factor '(p + z)' equal to zero and attempt to solve: Simplifying p + z = 0 Solving p + z = 0 Move all terms containing p to the left, all other terms to the right. Add '-1z' to each side of the equation. p + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 p + 0 = 0 + -1z p = 0 + -1z Remove the zero: p = -1z Simplifying p = -1zSubproblem 2
Set the factor '(p + z)' equal to zero and attempt to solve: Simplifying p + z = 0 Solving p + z = 0 Move all terms containing p to the left, all other terms to the right. Add '-1z' to each side of the equation. p + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 p + 0 = 0 + -1z p = 0 + -1z Remove the zero: p = -1z Simplifying p = -1zSolution
p = {-1z, -1z}
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