Find the values of x. 3x^(2)-16 x-35

Find the Factors: Step Title: Find the Factors Concise Step Description: Find two numbers that multiply to the product of the first coefficient (3) and the last term (-35), which is -105, and add to the middle coefficient (-16). Step Calculation: Factors of -105 that add up to -16 are -21 and 5. Step Output: Factors: -21, 5Write the 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, and then factor by grouping. Step Calculation: 1. Split the middle term using the factors -21 and 5: 3x^2 - 21x + 5x - 35 2. Factor by grouping: (3x^2 - 21x) + (5x - 35) 3x(x - 7) + 5(x - 7) 3. Factor out the common binomial factor (x - 7): (3x + 5)(x - 7) Step Output: Factored Form: (3x + 5)(x - 7)

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Q. Find the values of

x

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3 x^{2}-16 x-35

Find the Factors: Step Title: Find the Factors $\newline$ Concise Step Description: Find two numbers that multiply to the product of the first coefficient $3$ and the last term $-35$ , which is $-105$ , and add to the middle coefficient $-16$ . $\newline$ Step Calculation: Factors of $-105$ that add up to $-16$ are $-21$ and $5$ . $\newline$ Step Output: Factors: $-21$ , $5$
Write the Factored Form: Step Title: Write the Factored Form $\newline$ Concise Step Description: Write the factored form of the quadratic equation using the factors found in the previous step, and then factor by grouping. $\newline$ Step Calculation: $\newline$ $1$ . Split the middle term using the factors $-21$ and $5$ : $3x^2 - 21x + 5x - 35$ $\newline$ $2$ . Factor by grouping: $\newline$ $(3x^2 - 21x) + (5x - 35)$ $\newline$ $3x(x - 7) + 5(x - 7)$ $\newline$ $3$ . Factor out the common binomial factor $(x - 7)$ : $\newline$ $(3x + 5)(x - 7)$ $\newline$ Step Output: Factored Form: $(3x + 5)(x - 7)$