To solve for x in the equation 2x^2 = 12x - 18, we can rearrange the equation into standard quadratic form by moving all terms to one side:
2x^2 - 12x + 18 = 0
Next, we can simplify by dividing all terms by the common factor of 2:
x^2 - 6x + 9 = 0
Now we can factor the left side of the equation:
(x - 3)(x - 3) = 0
So the equation has only one solution, which is x = 3. This can also be seen by noting that the left side of the equation is a perfect square, namely (x - 3)^2, which equals zero only when x = 3.
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Answer:
To solve for x in the equation 2x^2 = 12x - 18, we can rearrange the equation into standard quadratic form by moving all terms to one side:
2x^2 - 12x + 18 = 0
Next, we can simplify by dividing all terms by the common factor of 2:
x^2 - 6x + 9 = 0
Now we can factor the left side of the equation:
(x - 3)(x - 3) = 0
So the equation has only one solution, which is x = 3. This can also be seen by noting that the left side of the equation is a perfect square, namely (x - 3)^2, which equals zero only when x = 3.
Step-by-step explanation:
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