book Maths Puzzle Numerical Ability

I need some clarification on the zero-factor theorem.

I am to solve using the zero-factor theorem the following equation:

1. g^2-3g-18=0 I tried setiing up as g^2-3=0 and -18=0 this did not make sense to me.

and 2. 16d^2=4

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book Other Question

can someone please help me with the equation. I keep coming up with 2 for an answer

Solve each eqwuation. Identify each eqwuation as a conditional equation, an inconsistent equation or an identity

1/2b - 1/2 - 1/4b

Please Help. Thank you
Graph the lines containing these points and find their slope.

(2,5) (-3,10)