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# Equation

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

Nov 5, 2022

#1
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$$(3x+2)(x+4)=\frac{4x^2+8x+8x^2}{2x}$$
simplify

$$3x^2+24x+48=2x+4+4x$$

simplify

$$3x^2+24x+48=6x+4$$
subtract 6x+4

$$3x^2+18x+44=0$$
$$\frac{-18 \pm \sqrt{18^2-4(3)(44)}}{2(3)}$$
$$-3\pm\frac{i\sqrt{194}}{6}$$