5-x+50+10x-25+x^2=0

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Solution for 5-x+50+10x-25+x^2=0 equation:


Simplifying
5 + -1x + 50 + 10x + -25 + x2 = 0

Reorder the terms:
5 + 50 + -25 + -1x + 10x + x2 = 0

Combine like terms: 5 + 50 = 55
55 + -25 + -1x + 10x + x2 = 0

Combine like terms: 55 + -25 = 30
30 + -1x + 10x + x2 = 0

Combine like terms: -1x + 10x = 9x
30 + 9x + x2 = 0

Solving
30 + 9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 9x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + 9x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 9x + x2 = 0 + -30
9x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
9x + x2 = -30

The x term is 9x.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9x + 20.25 + x2 = -30 + 20.25

Reorder the terms:
20.25 + 9x + x2 = -30 + 20.25

Combine like terms: -30 + 20.25 = -9.75
20.25 + 9x + x2 = -9.75

Factor a perfect square on the left side:
(x + 4.5)(x + 4.5) = -9.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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