Solve for x in the equation x2-4x-9=29

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First move all the terms to one side:

x^​2​​−4x−9−29=0

Then simplify x^​2​​−4x−9−29:

x​^2​​−4x−38=0
Then use the quadratic formula:

x = 4 + 2√42 over 2 , 4 - 2√42 over 2

Finally simplify:

x = 2 + √42, 2 - √42

Final

x = 2 + √42, 2 - √42

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