Solve the quadratic by factoring. 5x^(2)+11 x+2=3x-1 Answer: x=

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Solve the quadratic by factoring.  5x^(2)+11 x+2=3x-1 Answer:  x=

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Write Standard Form: Write the equation in standard form by moving all terms to one side of the equation. 5x^2 + 11x + 2 = 3x - 1 Subtract 3x from both sides and add 1 to both sides to get: 5x^2 + 11x - 3x + 2 + 1 = 0 Combine like terms: 5x^2 + 8x + 3 = 0Identify a, b, c: Identify a, b, and c in the standard form of the quadratic equation ax^2 + bx + c = 0. In the equation 5x^2 + 8x + 3 = 0, we have: a = 5 b = 8 c = 3Find Multiplying Numbers: Find two numbers that multiply to a*c (5*3 = 15) and add up to b (8). The two numbers that satisfy these conditions are 5 and 3 because: 5 * 3 = 15 5 + 3 = 8Split Middle Term: Rewrite the equation by splitting the middle term using the two numbers found in Step 3. 5x^2 + 5x + 3x + 3 = 0 Group the terms: (5x^2 + 5x) + (3x + 3) = 0Factor by Grouping: Factor by grouping. Factor out the greatest common factor from each group: 5x(x + 1) + 3(x + 1) = 0 Now, factor out the common binomial factor (x + 1): (5x + 3)(x + 1) = 0Set Factors Equal: Set each factor equal to zero and solve for x. 5x + 3 = 0 or x + 1 = 0 For 5x + 3 = 0: 5x = -3 x = -3/5 For x + 1 = 0: x = -1

Solve the quadratic by factoring. $\newline$ $5 x^{2}+11 x+2=3 x-1$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline5x2+11x+2=3x−1 5 x^{2}+11 x+2=3 x-1 5x2+11x+2=3x−1\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $5 x^{2}+11 x+2=3 x-1$ $\newline$ Answer: $x=$