x=5x^2-30x+181

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Solution for x=5x^2-30x+181 equation: 


Simplifying
x = 5x2 + -30x + 181

Reorder the terms:
x = 181 + -30x + 5x2

Solving
x = 181 + -30x + 5x2

Solving for variable 'x'.

Reorder the terms:
-181 + x + 30x + -5x2 = 181 + -30x + 5x2 + -181 + 30x + -5x2

Combine like terms: x + 30x = 31x
-181 + 31x + -5x2 = 181 + -30x + 5x2 + -181 + 30x + -5x2

Reorder the terms:
-181 + 31x + -5x2 = 181 + -181 + -30x + 30x + 5x2 + -5x2

Combine like terms: 181 + -181 = 0
-181 + 31x + -5x2 = 0 + -30x + 30x + 5x2 + -5x2
-181 + 31x + -5x2 = -30x + 30x + 5x2 + -5x2

Combine like terms: -30x + 30x = 0
-181 + 31x + -5x2 = 0 + 5x2 + -5x2
-181 + 31x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-181 + 31x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
36.2 + -6.2x + x2 = 0

Move the constant term to the right:

Add '-36.2' to each side of the equation.
36.2 + -6.2x + -36.2 + x2 = 0 + -36.2

Reorder the terms:
36.2 + -36.2 + -6.2x + x2 = 0 + -36.2

Combine like terms: 36.2 + -36.2 = 0.0
0.0 + -6.2x + x2 = 0 + -36.2
-6.2x + x2 = 0 + -36.2

Combine like terms: 0 + -36.2 = -36.2
-6.2x + x2 = -36.2

The x term is -6.2x.  Take half its coefficient (-3.1).
Square it (9.61) and add it to both sides.

Add '9.61' to each side of the equation.
-6.2x + 9.61 + x2 = -36.2 + 9.61

Reorder the terms:
9.61 + -6.2x + x2 = -36.2 + 9.61

Combine like terms: -36.2 + 9.61 = -26.59
9.61 + -6.2x + x2 = -26.59

Factor a perfect square on the left side:
(x + -3.1)(x + -3.1) = -26.59

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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