x=10x^2-40x+400

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Solution for x=10x^2-40x+400 equation:


Simplifying
x = 10x2 + -40x + 400

Reorder the terms:
x = 400 + -40x + 10x2

Solving
x = 400 + -40x + 10x2

Solving for variable 'x'.

Reorder the terms:
-400 + x + 40x + -10x2 = 400 + -40x + 10x2 + -400 + 40x + -10x2

Combine like terms: x + 40x = 41x
-400 + 41x + -10x2 = 400 + -40x + 10x2 + -400 + 40x + -10x2

Reorder the terms:
-400 + 41x + -10x2 = 400 + -400 + -40x + 40x + 10x2 + -10x2

Combine like terms: 400 + -400 = 0
-400 + 41x + -10x2 = 0 + -40x + 40x + 10x2 + -10x2
-400 + 41x + -10x2 = -40x + 40x + 10x2 + -10x2

Combine like terms: -40x + 40x = 0
-400 + 41x + -10x2 = 0 + 10x2 + -10x2
-400 + 41x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-400 + 41x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
40 + -4.1x + x2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + -4.1x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + -4.1x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -4.1x + x2 = 0 + -40
-4.1x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
-4.1x + x2 = -40

The x term is -4.1x.  Take half its coefficient (-2.05).
Square it (4.2025) and add it to both sides.

Add '4.2025' to each side of the equation.
-4.1x + 4.2025 + x2 = -40 + 4.2025

Reorder the terms:
4.2025 + -4.1x + x2 = -40 + 4.2025

Combine like terms: -40 + 4.2025 = -35.7975
4.2025 + -4.1x + x2 = -35.7975

Factor a perfect square on the left side:
(x + -2.05)(x + -2.05) = -35.7975

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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