Solve the quadratic by factoring. 2x^(2)-9x-6=-10 Answer: x=

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Solve the quadratic by factoring.  2x^(2)-9x-6=-10 Answer:  x=

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Move Terms to One Side: Move all terms to one side of the equation to set it equal to zero. We need to add 10 to both sides of the equation to get a standard form of a quadratic equation. 2x^2 - 9x - 6 + 10 = 0 2x^2 - 9x + 4 = 0Identify a, b, c: Identify a, b, and c in the quadratic equation 2x^2 - 9x + 4. Compare 2x^2 - 9x + 4 with ax^2 + bx + c. a = 2 b = -9 c = 4Find Multiplying Numbers: Find two numbers that multiply to a*c (2*4 = 8) and add up to b (-9). We are looking for two numbers that multiply to 8 and add up to -9. The numbers are -1 and -8 because -1 * -8 = 8 and -1 + -8 = -9.Rewrite Middle Term: Rewrite the middle term of the quadratic equation using the two numbers found in Step 3. 2x^2 - 9x + 4 can be rewritten by splitting the middle term into -1x and -8x. 2x^2 - 1x - 8x + 4Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms. (2x^2 - 1x) + (-8x + 4) Factor out the greatest common factor from each group. x(2x - 1) - 4(2x - 1)Factor out Common Binomial: Factor out the common binomial factor. The common binomial factor is (2x - 1). x(2x - 1) - 4(2x - 1) can be factored as (2x - 1)(x - 4).Set Factors Equal to Zero: Set each factor equal to zero and solve for x. 2x - 1 = 0 or x - 4 = 0 For 2x - 1 = 0: Add 1 to both sides and then divide by 2. 2x = 1 x = 1/2 For x - 4 = 0: Add 4 to both sides. x = 4

Solve the quadratic by factoring. $\newline$ $2 x^{2}-9 x-6=-10$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline2x2−9x−6=−10 2 x^{2}-9 x-6=-10 2x2−9x−6=−10\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $2 x^{2}-9 x-6=-10$ $\newline$ Answer: $x=$