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Solve for pp.\newline −10p=( 4−8p)\sqrt{\, -10p} = \sqrt{(\, 4 - 8p)}\newlinep= ____p = \,\_\_\_\_

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Full solution

Q. Solve for pp.\newline −10p=( 4−8p)\sqrt{\, -10p} = \sqrt{(\, 4 - 8p)}\newlinep= ____p = \,\_\_\_\_
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(−10p)2=(4−8p)2(\sqrt{-10p})^2 = (\sqrt{4 - 8p})^2\newline−10p=4−8p-10p = 4 - 8p
  2. Add pp terms: Add 8p8p to both sides to get all the pp terms on one side.\newline−10p+8p=4−8p+8p-10p + 8p = 4 - 8p + 8p\newline−2p=4-2p = 4
  3. Divide by −2-2: Divide both sides by −2-2 to solve for pp.−2p−2=4−2\frac{-2p}{-2} = \frac{4}{-2}p=−2p = -2

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