0=2900-100x+x^2

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Solution for 0=2900-100x+x^2 equation:


Simplifying
0 = 2900 + -100x + x2

Solving
0 = 2900 + -100x + x2

Solving for variable 'x'.

Combine like terms: 0 + -2900 = -2900
-2900 + 100x + -1x2 = 2900 + -100x + x2 + -2900 + 100x + -1x2

Reorder the terms:
-2900 + 100x + -1x2 = 2900 + -2900 + -100x + 100x + x2 + -1x2

Combine like terms: 2900 + -2900 = 0
-2900 + 100x + -1x2 = 0 + -100x + 100x + x2 + -1x2
-2900 + 100x + -1x2 = -100x + 100x + x2 + -1x2

Combine like terms: -100x + 100x = 0
-2900 + 100x + -1x2 = 0 + x2 + -1x2
-2900 + 100x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2900 + 100x + -1x2 = 0

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

Divide each side by '-1'.
2900 + -100x + x2 = 0

Move the constant term to the right:

Add '-2900' to each side of the equation.
2900 + -100x + -2900 + x2 = 0 + -2900

Reorder the terms:
2900 + -2900 + -100x + x2 = 0 + -2900

Combine like terms: 2900 + -2900 = 0
0 + -100x + x2 = 0 + -2900
-100x + x2 = 0 + -2900

Combine like terms: 0 + -2900 = -2900
-100x + x2 = -2900

The x term is -100x.  Take half its coefficient (-50).
Square it (2500) and add it to both sides.

Add '2500' to each side of the equation.
-100x + 2500 + x2 = -2900 + 2500

Reorder the terms:
2500 + -100x + x2 = -2900 + 2500

Combine like terms: -2900 + 2500 = -400
2500 + -100x + x2 = -400

Factor a perfect square on the left side:
(x + -50)(x + -50) = -400

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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