Factor completely. 100-140 x+49x^(2)=

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Factor completely.  100-140 x+49x^(2)=

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 100, -140, and 49. Step Calculation: Coefficients are 100, -140, 49 Step Output: Coefficients: 100, -140, 49Rearrange Standard Form: Step Title: Rearrange in Standard Form Concise Step Description: Rearrange the quadratic equation in standard form, which is ax^2 + bx + c. Step Calculation: The standard form is 49x^2 - 140x + 100. Step Output: Standard Form: 49x^2 - 140x + 100Factor Greatest Common Factor: Step Title: Factor the Greatest Common Factor (GCF) Concise Step Description: Factor out the greatest common factor from the coefficients. Step Calculation: The GCF of 49, -140, and 100 is 1. Step Output: Since the GCF is 1, we cannot factor anything out.Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients (49*100) and add to the middle coefficient (-140). Step Calculation: Factors of 4900 that add up to -140 are -70 and -70. Step Output: Factors: -70, -70Write Factored Form: Step Title: Write the Factored Form Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step. Step Calculation: The factored form is (7x - 10)^2, since (7x - 10)(7x - 10) gives 49x^2 - 70x - 70x + 100. Step Output: Factored Form: (7x - 10)^2

Factor completely. $\newline$ $100-140x+49x^{2}=$

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Factor completely.\newline100−140x+49x2=100-140x+49x^{2}=100−140x+49x2=

Factor completely. $\newline$ $100-140x+49x^{2}=$