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Solve for uu.\newline(−7u+3)=−10u\sqrt{(-7u + 3)} = \sqrt{-10u}\newlineu=u = _____

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Full solution

Q. Solve for uu.\newline(−7u+3)=−10u\sqrt{(-7u + 3)} = \sqrt{-10u}\newlineu=u = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(−7u+3)2=(−10u)2(\sqrt{-7u + 3})^2 = (\sqrt{-10u})^2\newline−7u+3=−10u-7u + 3 = -10u
  2. Add uu terms: Add 7u7u to both sides to get all the uu terms on one side.\newline−7u+7u+3=−10u+7u-7u + 7u + 3 = -10u + 7u\newline3=−3u3 = -3u
  3. Divide by −3-3: Divide both sides by −3-3 to solve for uu.3(–3)=–3u(–3)\frac{3}{(–3)} = \frac{–3u}{(–3)}u=–1u = –1

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