Combine Like Terms: Combine like terms in the equation 2b−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 b. 2b+b=3b So the equation becomes 3b−5ab=0.
Factor Out Common Factor: Factor out the common factor b from the terms 3b and −5ab. Both terms have a b in common, so we can factor it out. b(3−5a)=0
Solve for b: Solve for b.For the product of two factors to be zero, at least one of the factors must be zero.Therefore, we set each factor equal to zero and solve for b.b=0 or 3−5a=0
Solve for a: Solve the equation 3−5a=0 for a. To solve for a, we add 5a to both sides and then divide by 5. 3=5aa=53 However, this step is not necessary for finding the value of b, as we are only interested in the values of b that satisfy the original equation.
Final Answer: State the final answer.The value of b that satisfies the equation is b=0, regardless of the value of a.
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