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Solve for vv.\newlinev2+5v+6=0v^2+5v+6=0

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Full solution

Q. Solve for vv.\newlinev2+5v+6=0v^2+5v+6=0
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Check out the numbers in front of the variables in the equation.\newlineCalculation: Coefficients are 11, 55, 66.
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Need two numbers that multiply to 66 (the constant term) and add to 55 (the coefficient of the middle term).\newlineCalculation: Factors of 66 that add up to 55 are 22 and 33.
  3. Write Factored Form: Step Title: Write the Factored Form\newlineReasoning: Use the factors from the previous step to write the equation in its factored form.\newlineCalculation: The factored form is (v+2)(v+3)(v + 2)(v + 3).

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