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Factorise. x2+8x−20=0x^{2}+8x-20=0

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Q. Factorise. x2+8x−20=0x^{2}+8x-20=0
  1. Identify Coefficients: Step Title: Identify the Coefficients\newlineConcise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 11, 88, and −20-20.\newlineStep Calculation: Coefficients are 11, 88, −20-20\newlineStep Output: Coefficients: 11, 88, −20-20
  2. Find Factors: Step Title: Find the Factors\newlineConcise Step Description: Find two numbers that multiply to −20-20 (the last term) and add to 88 (the coefficient of the middle term).\newlineStep Calculation: Factors of −20-20 that add up to 88 are 1010 and −2-2.\newlineStep Output: Factors: 1010, −2-2
  3. Write Factored Form: Step Title: Write the Factored Form\newlineConcise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step.\newlineStep Calculation: The factored form is (x+10)(x−2)(x + 10)(x - 2).\newlineStep Output: Factored Form: (x+10)(x−2)(x + 10)(x - 2)

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