Solve the quadratic by factoring. 6x^(2)-18 x+3=x Answer: x=

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Solve the quadratic by factoring.  6x^(2)-18 x+3=x Answer:  x=

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Move Terms to One Side: Move all terms to one side of the equation to set the quadratic equation to zero. Subtract x from both sides to get 6x^2 - 18x + 3 - x = 0. Combine like terms to get 6x^2 - 19x + 3 = 0.Factor Quadratic Equation: Factor the quadratic equation 6x^2 - 19x + 3. We need to find two numbers that multiply to (6 * 3) = 18 and add up to -19. The numbers that satisfy these conditions are -18 and -1 because -18 * -1 = 18 and -18 + -1 = -19.Rewrite Middle Term: Rewrite the middle term -19x using the two numbers found in Step 2. 6x^2 - 19x + 3 = 6x^2 - 18x - x + 3.Factor by Grouping: Factor by grouping. Group the first two terms and the last two terms separately. (6x^2 - 18x) - (x - 3). Factor out the common factor of 6x from the first group and 1 from the second group. 6x(x - 3) - 1(x - 3).Factor Out Common Factor: Factor out the common binomial factor (x - 3). (6x - 1)(x - 3) = 0.Set Factors Equal: Set each factor equal to zero and solve for x. 6x - 1 = 0 and x - 3 = 0. For 6x - 1 = 0, add 1 to both sides to get 6x = 1, then divide by 6 to get x = 1/6. For x - 3 = 0, add 3 to both sides to get x = 3.

Solve the quadratic by factoring. $\newline$ $6 x^{2}-18 x+3=x$ $\newline$ Answer: $x=$

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Solve the quadratic by factoring.\newline6x2−18x+3=x 6 x^{2}-18 x+3=x 6x2−18x+3=x\newlineAnswer: x= x= x=

Solve the quadratic by factoring. $\newline$ $6 x^{2}-18 x+3=x$ $\newline$ Answer: $x=$