Solve the quadratic by factoring. 3x^(2)+15=19 x+9 Answer: x=

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Solve the quadratic by factoring.  3x^(2)+15=19 x+9 Answer:  x=

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Write Standard Form: Write the quadratic equation in standard form. We need to bring all terms to one side of the equation to have it in the form ax^2 + bx + c = 0. 3x^2 + 15 = 19x + 9 Subtract 19x and 9 from both sides to get: 3x^2 - 19x + 15 - 9 = 0 3x^2 - 19x + 6 = 0Identify a, b, c: Identify a, b, and c in the standard form of the quadratic equation. From 3x^2 - 19x + 6 = 0, we can see that: a = 3 b = -19 c = 6Find Multiplying Numbers: Find two numbers that multiply to a*c (3*6=18) and add up to b (-19). We need to find two numbers that multiply to 18 and add up to -19. These numbers are -3 and -16 because: -3 * -16 = 18 -3 + -16 = -19Rewrite Using Numbers: Rewrite the quadratic equation using the numbers found in Step 3 to split the middle term. We can split the middle term -19x into -3x - 16x: 3x^2 - 3x - 16x + 6 = 0Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms: (3x^2 - 3x) - (16x - 6) = 0 Factor out the greatest common factor from each group: 3x(x - 1) - 2(8x - 3) = 0Factor Common Binomial: Factor out the common binomial factor. We need to rewrite the expression so that we have a common factor to factor out. However, we see that there is no common binomial factor between 3x(x - 1) and 2(8x - 3). This indicates that there is a mistake in the previous steps.

Solve the quadratic by factoring. $\newline$ $3 x^{2}+15=19 x+9$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline3x2+15=19x+9 3 x^{2}+15=19 x+9 3x2+15=19x+9\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $3 x^{2}+15=19 x+9$ $\newline$ Answer: $x=$