CPM Homework Help : CCA2 Problem 2-35

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2-35.

Solve each of the following equations without using the Quadratic Formula.

$y^2−6y=0$
Hint (a):
Factor $y$ out of these terms.
Answer (a):
$y=0$ or $y=6$

$n^2+5n+7=7$
Hint (b):
Subtract $7$ from both sides, then factor $n$ out of the terms.
Answer (b):
$n=0\ \text{or}\ n=-5$

$2t^2−14t+3=3$
Hint (c):
Refer to part (b).

$\frac{1}{3}x^2+3x−4=−4$
Hint (d):
Refer to part (b).

Zero is one of the solutions of each of the above equations. What do all of the above equations have in common that causes them to have zero as a solution?

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