x(3-x)=x-(x^2-2x+4)

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Solution for x(3-x)=x-(x^2-2x+4) equation:


Simplifying
x(3 + -1x) = x + -1(x2 + -2x + 4)
(3 * x + -1x * x) = x + -1(x2 + -2x + 4)
(3x + -1x2) = x + -1(x2 + -2x + 4)

Reorder the terms:
3x + -1x2 = x + -1(4 + -2x + x2)
3x + -1x2 = x + (4 * -1 + -2x * -1 + x2 * -1)
3x + -1x2 = x + (-4 + 2x + -1x2)

Reorder the terms:
3x + -1x2 = -4 + x + 2x + -1x2

Combine like terms: x + 2x = 3x
3x + -1x2 = -4 + 3x + -1x2

Add '-3x' to each side of the equation.
3x + -3x + -1x2 = -4 + 3x + -3x + -1x2

Combine like terms: 3x + -3x = 0
0 + -1x2 = -4 + 3x + -3x + -1x2
-1x2 = -4 + 3x + -3x + -1x2

Combine like terms: 3x + -3x = 0
-1x2 = -4 + 0 + -1x2
-1x2 = -4 + -1x2

Add 'x2' to each side of the equation.
-1x2 + x2 = -4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = -4 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
0 = -4 + 0
0 = -4

Solving
0 = -4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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