46x-x^2-1350=0

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Solution for 46x-x^2-1350=0 equation:


Simplifying
46x + -1x2 + -1350 = 0

Reorder the terms:
-1350 + 46x + -1x2 = 0

Solving
-1350 + 46x + -1x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
1350 + -46x + x2 = 0

Move the constant term to the right:

Add '-1350' to each side of the equation.
1350 + -46x + -1350 + x2 = 0 + -1350

Reorder the terms:
1350 + -1350 + -46x + x2 = 0 + -1350

Combine like terms: 1350 + -1350 = 0
0 + -46x + x2 = 0 + -1350
-46x + x2 = 0 + -1350

Combine like terms: 0 + -1350 = -1350
-46x + x2 = -1350

The x term is -46x.  Take half its coefficient (-23).
Square it (529) and add it to both sides.

Add '529' to each side of the equation.
-46x + 529 + x2 = -1350 + 529

Reorder the terms:
529 + -46x + x2 = -1350 + 529

Combine like terms: -1350 + 529 = -821
529 + -46x + x2 = -821

Factor a perfect square on the left side:
(x + -23)(x + -23) = -821

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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