8x^(2)=14-54 x

Question

8x^(2)=14-54 x

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Rewrite Equation: Step Title: Rewrite the Equation Concise Step Description: Rewrite the given equation in standard quadratic form, ax^2 + bx + c = 0. Step Calculation: 8x^2 + 54x - 14 = 0Identify 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 8, 54, and -14. Step Calculation: Coefficients are 8, 54, -14Find Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first coefficient (8) and the constant term (-14) and add to the middle coefficient (54). Step Calculation: The product of the first coefficient and the constant term is 8 * -14 = -112. We need two numbers that multiply to -112 and add up to 54. Step Output: Factors: -2, 56 (since -2 * 56 = -112 and -2 + 56 = 54)Write 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 (8x - 2)(x - 28).

$8 x^{2}=14-54 x$

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8x2=14−54x 8 x^{2}=14-54 x 8x2=14−54x

$8 x^{2}=14-54 x$