What is the solution of this answer?? First, lets factor it out. Lets find the factors of 9, we have 1, 9. Then, lets find the factors of d^2, it gives us d and another d. Make 2 parentheses. ( )( ) Fill it with 2 "d"s (d )(d ) Since the quadratic equations operations are all addition put the symbol "+" in the parentheses, right after d. (d + )(d + ) Next, put 1 and 9 after the "+" symbol (d + 1)(d + 9) Lets check if its right! Apply the FOIL METHOD F = d • d O = 9 • d I = 1 • d L = 9 Resulting to, d^2 + 9d + d + 9 Then simplify d^2 + 10d + 9 So its correct! Finally, separate the two factors (d + 1) --- (d + 9) Do this, (d + 1) = 0 (d + 9) = 0 Equate the two "d"s On the first equation, subtract 1 to both sides making d = -1 On the second equation, subtract 9 to both sides making d = -9 There you have it! The solutions are -1 and -9
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