Find all values of x such that x/(x + 4) = -8/(x + 7). If you find more than one value, then list your solutions in increasing order, separated by commas.
+14903 Find all values of x such that x/(x + 4) = -8/(x + 7). If you find more than one value, then list your solutions in increasing order, separated by commas.
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\(\color{BrickRed}\frac{x}{x+4}=\frac{-8}{x+7}\\ x^2+7x=-8x-32\\ x^2+15x+32=0 \)
p q
\(x=-\frac{p}{2}\pm \sqrt{(\frac{p}{2})^2-q}\\ x=-7.5\pm\sqrt{7.5^2-32}\\ x=-7.5\pm \sqrt{\frac{97}{4}}\\ x=-7.5\pm 0.5\sqrt{97}\\ x=-7,5\pm 4.9244\)
\( x\in\{-12.42443,-2.57557\}\)
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