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If −2x+143x=14 -2x+\frac{14}{3}x=14 , what is the value of x x ?

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Determine the direction of a vector scalar multipleright chevron icon

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Q. If −2x+143x=14 -2x+\frac{14}{3}x=14 , what is the value of x x ?
  1. Write Equation: Write down the equation to be solved.\newline−2x+143x=14-2x + \frac{14}{3x} = 14
  2. Eliminate Fraction: Multiply both sides of the equation by 3x3x to eliminate the fraction.\newline3x(−2x)+3x(143x)=3x(14)3x(-2x) + 3x(\frac{14}{3x}) = 3x(14)
  3. Simplify Equation: Simplify both sides of the equation.\newline−6x2+14=42x-6x^2 + 14 = 42x
  4. Rearrange Quadratic: Rearrange the equation to set it to zero and form a quadratic equation.\newline−6x2−42x+14=0-6x^2 - 42x + 14 = 0
  5. Divide and Simplify: Divide the entire equation by −2-2 to simplify.3x2+21x−7=03x^2 + 21x - 7 = 0

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