Solve the quadratic by factoring. 3x^(2)+16=11 x+10 Answer: x=

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Solve the quadratic by factoring.  3x^(2)+16=11 x+10 Answer:  x=

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Write Standard Form: Write the quadratic equation in standard form. To solve the quadratic equation by factoring, we need to write it in the standard form ax^2 + bx + c = 0. We start by subtracting 11x and 10 from both sides of the equation. 3x^2 + 16 - 11x - 10 = 0 3x^2 - 11x + 6 = 0Factor Equation: Factor the quadratic equation. We need to find two numbers that multiply to give the product of a*c (3*6=18) and add up to b (-11). The numbers that satisfy these conditions are -9 and -2 because -9*-2 = 18 and -9 + (-2) = -11.Write Factored Form: Write the factored form of the quadratic equation. Using the numbers found in Step 2, we can write the factored form of the equation as: (3x - 9)(x - 2) = 0Solve for x (Factor 1): Solve for x by setting each factor equal to zero. First, set the first factor equal to zero: 3x - 9 = 0 Add 9 to both sides: 3x = 9 Divide by 3: x = 3Solve for x (Factor 2): Solve for x using the second factor. Now, set the second factor equal to zero: x - 2 = 0 Add 2 to both sides: x = 2

Solve the quadratic by factoring. $\newline$ $3 x^{2}+16=11 x+10$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline3x2+16=11x+10 3 x^{2}+16=11 x+10 3x2+16=11x+10\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $3 x^{2}+16=11 x+10$ $\newline$ Answer: $x=$