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Solving Quadratic Equations: Factoring

Question 2 • FL-1200700-Mathematics for College Algebra MIS

What is x2 – 6 = 16x + 30 rewritten in standard form, then factored? | What value(s) of x make the equation true?

Answer
A
= 6
B
= –18 or x = 2
C
= –6 or x = 6
D
x = –2 or x = 18

Explanation

Move all terms to one side: x² − 6 = 16x + 30 becomes x² − 16x − 36 = 0. Factor to get (x − 18)(x + 2) = 0, since the factors multiply to −36 and add to −16. Setting each factor equal to zero gives x = 18 or x = −2, matching choice D.

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