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2x-2x((x^(2))/(144))=0

2x2x(x2144)=0 2 x-2 x\left(\frac{x^{2}}{144}\right)=0

Full solution

Q. 2x2x(x2144)=0 2 x-2 x\left(\frac{x^{2}}{144}\right)=0
  1. Distribute and Simplify: Simplify the equation by distributing 2x2x across the terms.2x2x×(x2144)=02x - 2x \times \left(\frac{x^2}{144}\right) = 0=2x(2x3144)= 2x - \left(\frac{2x^3}{144}\right)
  2. Simplify Fraction: Simplify the fraction in the term.\newline2x2x31442x - \frac{2x^3}{144}\newline= 2xx3722x - \frac{x^3}{72}
  3. Factor Out Common Term: Factor out the common term, which is xx.x(2(x272))=0x(2 - (\frac{x^2}{72})) = 0
  4. Set Equal and Solve: Set each factor equal to zero and solve for xx.x=0x = 0 or 2x272=02 - \frac{x^2}{72} = 0
  5. Second Equation Solution: Solve the second equation for xx.2x272=02 - \frac{x^2}{72} = 0x272=2\frac{x^2}{72} = 2x2=144x^2 = 144x=±12x = \pm12

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