If , which mathematical property allows you to conclude that either or…

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

If (2x−3)(x+5)=0(2x - 3)(x + 5) = 0, which mathematical property allows you to conclude that either 2x−3=02x - 3 = 0 or x+5=0x + 5 = 0? (a) Distributive property (b) Zero-product property (c) Factor theorem (d) Commutative property of multiplication

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