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Solve for xx.\newline6x=−4+7x\sqrt{6x} = \sqrt{-4 + 7x}\newlinex=x = _____

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Full solution

Q. Solve for xx.\newline6x=−4+7x\sqrt{6x} = \sqrt{-4 + 7x}\newlinex=x = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(6x)2=(–4+7x)2(\sqrt{6x})^2 = (\sqrt{\text{–}4 + 7x})^2\newline6x=–4+7x6x = \text{–}4 + 7x
  2. Subtract xx terms: Subtract 7x7x from both sides to get all xx terms on one side.\newline6x−7x=−4+7x−7x6x - 7x = -4 + 7x - 7x\newline−x=−4-x = -4
  3. Multiply by −1-1: Multiply both sides by −1-1 to solve for xx.−1×(-x)=−1×(-4)-1 \times (\text{-}x) = -1 \times (\text{-}4)x=4x = 4

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