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# help algebra

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Solve for x:
(3x + 12)(3x + 4) = (4x^2 + 8x + 18x^2)/(2x).

Nov 1, 2022

#1
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Open up paranthesis by FOILing: 9x^2 + 36x + 12x + 48 = (4x^2 + 8x + 18x^2)/2x

Combine like terms: 9x^2 + 48x + 48 = (22x^2 + 8x)/2x

Factor out top and bottom by 2x, then cancel terms: (22x^2 + 8x)/2x = 2x(11x + 4)/2x = 11x + 4

9x^2 + 48x + 48 = 11x + 4

Combine like terms: 9x^2 + 37x + 44 = 0

Use quadratic formula: $${-37\pm\sqrt{37^2 - (4)(9)(44)}}\over18$$ = $${-37 \pm\sqrt{1369 - 1584}}\over18$$ = $$-37\pm i\sqrt{215}\over18$$ = x

Nov 1, 2022
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