#1.
Question: 2x^2 − 3x − 35 = 0
Step 1: Factor left side of equation): (2x + 7) (x − 5) = 0
Step 2: Set factors equal to 0.): 2x + 7 = 0 or x − 5 = 0
ANSWER: x = −7/2 or x = 5
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#2.
Question: 56z^2 + 2 = 22z
Step 1: Subtract 22z from both sides.):
56z^2 + 2 −22z = 22z − 22z
56z^2 − 22z + 2 = 0
Step 2: Factor left side of equation.):
2(7z − 1)(4z − 1) = 0
Step 3: Set factors equal to 0.):
7z − 1 = 0 or 4z − 1 = 0
ANSWER: z = 1/7 or z = 1/4