x+5=x-x^2

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


Simplifying
x + 5 = x + -1x2

Reorder the terms:
5 + x = x + -1x2

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

Combine like terms: x + -1x = 0
5 + 0 = x + -1x + -1x2
5 = x + -1x + -1x2

Combine like terms: x + -1x = 0
5 = 0 + -1x2
5 = -1x2

Solving
5 = -1x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x2' to each side of the equation.
5 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + x2 = 0

Add '-5' to each side of the equation.
5 + -5 + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x2 = 0 + -5
x2 = 0 + -5

Combine like terms: 0 + -5 = -5
x2 = -5

Simplifying
x2 = -5

Reorder the terms:
5 + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + x2 = 0

The solution to this equation could not be determined.

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