133=x^2-3x+417

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Solution for 133=x^2-3x+417 equation: 


Simplifying
133 = x2 + -3x + 417

Reorder the terms:
133 = 417 + -3x + x2

Solving
133 = 417 + -3x + x2

Solving for variable 'x'.

Combine like terms: 133 + -417 = -284
-284 + 3x + -1x2 = 417 + -3x + x2 + -417 + 3x + -1x2

Reorder the terms:
-284 + 3x + -1x2 = 417 + -417 + -3x + 3x + x2 + -1x2

Combine like terms: 417 + -417 = 0
-284 + 3x + -1x2 = 0 + -3x + 3x + x2 + -1x2
-284 + 3x + -1x2 = -3x + 3x + x2 + -1x2

Combine like terms: -3x + 3x = 0
-284 + 3x + -1x2 = 0 + x2 + -1x2
-284 + 3x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-284 + 3x + -1x2 = 0

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

Divide each side by '-1'.
284 + -3x + x2 = 0

Move the constant term to the right:

Add '-284' to each side of the equation.
284 + -3x + -284 + x2 = 0 + -284

Reorder the terms:
284 + -284 + -3x + x2 = 0 + -284

Combine like terms: 284 + -284 = 0
0 + -3x + x2 = 0 + -284
-3x + x2 = 0 + -284

Combine like terms: 0 + -284 = -284
-3x + x2 = -284

The x term is -3x.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3x + 2.25 + x2 = -284 + 2.25

Reorder the terms:
2.25 + -3x + x2 = -284 + 2.25

Combine like terms: -284 + 2.25 = -281.75
2.25 + -3x + x2 = -281.75

Factor a perfect square on the left side:
(x + -1.5)(x + -1.5) = -281.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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