2x^2-75x+1800=0

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Solution for 2x^2-75x+1800=0 equation:


Simplifying
2x2 + -75x + 1800 = 0

Reorder the terms:
1800 + -75x + 2x2 = 0

Solving
1800 + -75x + 2x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
900 + -37.5x + x2 = 0

Move the constant term to the right:

Add '-900' to each side of the equation.
900 + -37.5x + -900 + x2 = 0 + -900

Reorder the terms:
900 + -900 + -37.5x + x2 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + -37.5x + x2 = 0 + -900
-37.5x + x2 = 0 + -900

Combine like terms: 0 + -900 = -900
-37.5x + x2 = -900

The x term is -37.5x.  Take half its coefficient (-18.75).
Square it (351.5625) and add it to both sides.

Add '351.5625' to each side of the equation.
-37.5x + 351.5625 + x2 = -900 + 351.5625

Reorder the terms:
351.5625 + -37.5x + x2 = -900 + 351.5625

Combine like terms: -900 + 351.5625 = -548.4375
351.5625 + -37.5x + x2 = -548.4375

Factor a perfect square on the left side:
(x + -18.75)(x + -18.75) = -548.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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