Mathematics

Mathematics

Problem

Use the Zero Property Rule to solve: x2−6x=16x^2 - 6x = 16
Intuitive explanation

The Zero Product Property only works when one side of your equation is zero, so your first move is to rearrange this into standard form by moving everything to one side. Once you have a quadratic equal to zero, factor it into two binomials—then you can use the key insight: if a product equals zero, at least one of the factors must be zero, giving you two simple equations to solve.

Intuitive explanation

The Zero Product Property only works when one side of your equation is zero, so your first move is to rearrange this into standard form by moving everything to one side. Once you have a quadratic equal to zero, factor it into two binomials—then you can use the key insight: if a product equals zero, at least one of the factors must be zero, giving you two simple equations to solve.

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