Solve for x. {:[2x^(2)-12 x+18=0],[x=]:}

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Solve for  x.  {:[2x^(2)-12 x+18=0],[x=]:}

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Factor Quadratic Equation: We are given the quadratic equation 2x^2 - 12x + 18 = 0. The first step is to try to factor the quadratic, if possible. We look for two numbers that multiply to 2*18 (which is 36) and add up to -12.Identify Common Factors: We notice that the numbers -6 and -6 multiply to 36 and add up to -12. So we can write the quadratic as 2x^2 - 6x - 6x + 18 = 0.Factor by Grouping: Now we can factor by grouping. We group the terms as (2x^2 - 6x) and (-6x + 18) and factor out the common factors from each group.Simplify Factors: From the first group, we factor out 2x, and from the second group, we factor out -6. This gives us 2x(x - 3) - 6(x - 3) = 0.Apply Zero Product Property: Since both terms have a common factor of (x - 3), we can factor this out to get (2x - 6)(x - 3) = 0.Set Factors Equal: We can simplify the first factor by dividing by 2, which gives us (x - 3)(x - 3) = 0 or (x - 3)^2 = 0.Solve for x: Now we can use the zero product property, which states that if a product of factors equals zero, then at least one of the factors must be zero. We set each factor equal to zero: x - 3 = 0.Solving for x, we add 3 to both sides of the equation to get x = 3.

Solve for $x$ . $\newline$ $\begin{array}{l} 2 x^{2}-12 x+18=0 \\ x= \end{array}$

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Solve for x x x.\newline2x2−12x+18=0x= \begin{array}{l} 2 x^{2}-12 x+18=0 \\ x= \end{array} 2x2−12x+18=0x=​

Solve for $x$ . $\newline$ $\begin{array}{l} 2 x^{2}-12 x+18=0 \\ x= \end{array}$