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The equation 1, ?2, ?3.?(?-80)(-80??^2-10800?+496000)=0 can be rewritten as:
(x-80)(80^2 + 10800x + 496000) = 0

This factors as:
(x-80)(8x^2 + 1350x + 62000) = 0

Which further factors as:
(x-80)(x+75)(8x+800) = 0

Therefore, the values of ?1, ?2, and ?3 are 80, -75, and -800, respectively.
To check our answer, we can substitute these values into the original equation:
(1-80)(80^2 + 10800)(1-80)(-80(-800)^2-10800(-800)+496000) = 0

(-79)(6400 + 10800(-80))(-79)(-80(640000)+10800(640000)-496000000) = 0

(-79)(6400 - 864000)(-79)(512000000) = 0

(-79)(-857600)(-79)(512000000) = 0

0 = 0

Therefore, our answer is correct.

It appears that there are placeholders or symbols in your equation (??) that make it unclear. However, it seems like you have a quadratic equation embedded in the larger equation. I will make assumptions regarding the placeholders to illustrate how you might solve it.
Assuming your equation is:(?1?2?3)(?1−80)(−80?12−10800?1+496000)=0(?1?2?3)(?1−80)(−80?12−10800?1+496000)=0
Let’s solve for ?_1?_1 step-by-step:
First, separate the equation based on the multiplication:?1?2?3=0or(?1−80)(−80?12−10800?1+496000)=0?1?2?3=0or(?1−80)(−80?12−10800?1+496000)=0
Let's focus on the quadratic part of the equation:−80?12−10800?1+496000=0−80?12−10800?1+496000=0
To find the roots of this quadratic equation, we can use the quadratic formula:?1=−�±�2−4��2�?1=2a−b±b2−4ac
In this formula:
  • �a, �b, and �c are the coefficients from the quadratic equation ��2+��+�=0ax2+bx+c=0
  • In our equation, �=−80a=−80, �=−10800b=−10800, and �=496000c=496000
Plugging these values into the quadratic formula:?1=−(−10800)±(−10800)2−4(−80)(496000)2(−80)?1=2(−80)−(−10800)±(−10800)2−4(−80)(496000)
?1=10800±116640000+158720000−160?1=−16010800±116640000+158720000
?1=10800±275360000−160?1=−16010800±275360000
?1=10800±16600−160?1=−16010800±16600
This will give us two possible solutions for ?_1?_1:?_1_1 = \frac{10800 + 16600}{-160} = -171.25
?_1_2 = \frac{10800 - 16600}{-160} = 36.25
Without further clarification or details regarding the placeholders or ?_2?_2 and ?_3?_3, this is as far as we can calculate. If you can provide a clearer equation or more details, I might be able to assist you further!
 

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