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15b^(2)+4b-4=0

66) 15b2+4b−4=0 15 b^{2}+4 b-4=0

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Full solution

Q. 66) 15b2+4b−4=0 15 b^{2}+4 b-4=0
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineReasoning: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 1515, 44, and −4-4.\newlineCalculation: Coefficients are 1515, 44, −4-4
  2. Find Factors: Step Title: Find the Factors\newlineReasoning: Find two numbers that multiply to −60-60 (15×−4)(15 \times -4) and add to 44 (the coefficient of the middle term).\newlineCalculation: Factors of −60-60 that add up to 44 are 1010 and −6-6.
  3. Write Factored Form: Step Title: Write the Factored Form\newlineReasoning: Write the factored form of the quadratic equation using the factors found in the previous step.\newlineCalculation: The factored form is (15b−6)(b+10)(15b - 6)(b + 10).

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