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Mathematics
7 December, 00:07
Solve (3x^2+2x+1) (x+3)
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Sonia Weiss
7 December, 00:19
0
x = - 3
Step-by-step explanation:
Solve for x over the real numbers:
(x + 3) (3 x^2 + 2 x + 1) = 0
Split into two equations:
x + 3 = 0 or 3 x^2 + 2 x + 1 = 0
Subtract 3 from both sides:
x = - 3 or 3 x^2 + 2 x + 1 = 0
Divide both sides by 3:
x = - 3 or x^2 + (2 x) / 3 + 1/3 = 0
Subtract 1/3 from both sides:
x = - 3 or x^2 + (2 x) / 3 = - 1/3
Add 1/9 to both sides:
x = - 3 or x^2 + (2 x) / 3 + 1/9 = - 2/9
Write the left hand side as a square:
x = - 3 or (x + 1/3) ^2 = - 2/9
(x + 1/3) ^2 = - 2/9 has no solution since for all x on the real line, (x + 1/3) ^2 >=0 and - 2/9<0:
Answer: x = - 3
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Andreas Salinas
7 December, 00:21
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(3x^2+2x+1) (x+3)
= (3x^2) (x) (+3) (3) + (2x) (x) + (2x) + 3
3x^3+9x^2+2x^2+6x+x+3
3x^3+11x^2+7x+3
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