x+(x-2)+x(x-4)=-240

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Solution for x+(x-2)+x(x-4)=-240 equation: 


Simplifying
x + (x + -2) + x(x + -4) = -240

Reorder the terms:
x + (-2 + x) + x(x + -4) = -240

Remove parenthesis around (-2 + x)
x + -2 + x + x(x + -4) = -240

Reorder the terms:
x + -2 + x + x(-4 + x) = -240
x + -2 + x + (-4 * x + x * x) = -240
x + -2 + x + (-4x + x2) = -240

Reorder the terms:
-2 + x + x + -4x + x2 = -240

Combine like terms: x + x = 2x
-2 + 2x + -4x + x2 = -240

Combine like terms: 2x + -4x = -2x
-2 + -2x + x2 = -240

Solving
-2 + -2x + x2 = -240

Solving for variable 'x'.

Reorder the terms:
-2 + 240 + -2x + x2 = -240 + 240

Combine like terms: -2 + 240 = 238
238 + -2x + x2 = -240 + 240

Combine like terms: -240 + 240 = 0
238 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-238' to each side of the equation.
238 + -2x + -238 + x2 = 0 + -238

Reorder the terms:
238 + -238 + -2x + x2 = 0 + -238

Combine like terms: 238 + -238 = 0
0 + -2x + x2 = 0 + -238
-2x + x2 = 0 + -238

Combine like terms: 0 + -238 = -238
-2x + x2 = -238

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -238 + 1

Reorder the terms:
1 + -2x + x2 = -238 + 1

Combine like terms: -238 + 1 = -237
1 + -2x + x2 = -237

Factor a perfect square on the left side:
(x + -1)(x + -1) = -237

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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