Question

Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0

Answer 1

Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0

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This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3

Answer 2

CORRECT ANSWER : u^2+7u-8=0, where u=3x+2