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Let’s check out your problem:

sqrt7=(2x)/(0.50-x)

7=2x0.50−x \sqrt{7}=\frac{2 x}{0.50-x}

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Full solution

Q. 7=2x0.50−x \sqrt{7}=\frac{2 x}{0.50-x}
  1. Isolate x: First, let's isolate x by multiplying both sides of the equation by (0.50−x)(0.50 - x).\newline7×(0.50−x)=2x\sqrt{7} \times (0.50 - x) = 2x
  2. Distribute 7\sqrt{7}: Now, distribute 7\sqrt{7} to both terms inside the parentheses.7×0.50−7×x=2x\sqrt{7} \times 0.50 - \sqrt{7} \times x = 2x
  3. Move terms with x: Next, let's move all terms involving xx to one side of the equation.7×0.50=2x+7×x\sqrt{7} \times 0.50 = 2x + \sqrt{7} \times x
  4. Combine like terms: Combine like terms by factoring out xx on the right side of the equation.\newline7×0.50=x(2+7)\sqrt{7} \times 0.50 = x(2 + \sqrt{7})
  5. Divide by (2+7)(2 + \sqrt{7}): Now, divide both sides by (2+7)(2 + \sqrt{7}) to solve for xx.x=7×0.502+7x = \frac{\sqrt{7} \times 0.50}{2 + \sqrt{7}}
  6. Simplify numerator: Simplify the numerator by multiplying 7\sqrt{7} and 0.500.50.x=0.50×72+7x = \frac{0.50 \times \sqrt{7}}{2 + \sqrt{7}}
  7. Simplify numerator: Simplify the numerator by multiplying 7\sqrt{7} and 0.500.50.x=0.50×72+7x = \frac{0.50 \times \sqrt{7}}{2 + \sqrt{7}}Finally, we can leave the answer in this form or rationalize the denominator, but since the prompt doesn't ask for it, we'll leave it as is.

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