Factor completely. 2x^(2)-18 x+36=

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Factor completely.  2x^(2)-18 x+36=

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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 2, -18, and 36. Step Calculation: Coefficients are 2, -18, 36 Step Output: Coefficients: 2, -18, 36Check Common Factor: Step Title: Check for a Common Factor Concise Step Description: Check if there is a common factor that can be factored out from all terms of the quadratic equation. Step Calculation: All terms are divisible by 2. Step Output: Common factor: 2Factor Out Common Factor: Step Title: Factor Out the Common Factor Concise Step Description: Factor out the common factor from each term of the quadratic equation. Step Calculation: Factoring out 2 gives 2(x^2 - 9x + 18). Step Output: Factored equation with common factor: 2(x^2 - 9x + 18)Find Quadratic Factors: Step Title: Find the Factors of the Quadratic Part Concise Step Description: Find two numbers that multiply to the product of the first and last coefficients of the quadratic part (after factoring out the common factor) and add to the middle coefficient. Step Calculation: The product of the first and last coefficients is 1 * 18 = 18. We need two numbers that multiply to 18 and add to -9. The numbers are -3 and -6. Step Output: Factors: -3, -6Write Factored Quadratic: Step Title: Write the Factored Form of the Quadratic Part Concise Step Description: Write the factored form of the quadratic part using the factors found in the previous step. Step Calculation: The factored form of the quadratic part is (x - 3)(x - 6). Step Output: Factored form of the quadratic part: (x - 3)(x - 6)Combine Common Factor: Step Title: Combine the Common Factor with the Factored Quadratic Part Concise Step Description: Combine the common factor previously factored out with the factored form of the quadratic part to get the final factored form of the original equation. Step Calculation: The final factored form is 2(x - 3)(x - 6). Step Output: Final factored form: 2(x - 3)(x - 6)

Factor completely. $\newline$ $2x^{2}-18x+36=$

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Factor completely.\newline2x2−18x+36=2x^{2}-18x+36=2x2−18x+36=

Factor completely. $\newline$ $2x^{2}-18x+36=$