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2b5ab+b=02b-5ab+b=0

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Q. 2b5ab+b=02b-5ab+b=0
  1. Combine Like Terms: Combine like terms in the equation 2b5ab+b=02b - 5ab + b = 0. To combine like terms, we add the coefficients of the terms with the same variable. In this case, we combine the terms with bb. 2b+b=3b2b + b = 3b So the equation becomes 3b5ab=03b - 5ab = 0.
  2. Factor Out Common Factor: Factor out the common factor bb from the terms 3b3b and 5ab-5ab. Both terms have a bb in common, so we can factor it out. b(35a)=0b(3 - 5a) = 0
  3. Solve for bb: Solve for bb.\newlineFor the product of two factors to be zero, at least one of the factors must be zero.\newlineTherefore, we set each factor equal to zero and solve for bb.\newlineb=0b = 0 or 35a=03 - 5a = 0
  4. Solve for aa: Solve the equation 35a=03 - 5a = 0 for aa. To solve for aa, we add 5a5a to both sides and then divide by 55. 3=5a3 = 5a a=35a = \frac{3}{5} However, this step is not necessary for finding the value of bb, as we are only interested in the values of bb that satisfy the original equation.
  5. Final Answer: State the final answer.\newlineThe value of bb that satisfies the equation is b=0b = 0, regardless of the value of aa.