3-x*(x-3)=(x-2)*(1-x)

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Solution for 3-x*(x-3)=(x-2)*(1-x) equation:


Simplifying
3 + -1x(x + -3) = (x + -2)(1 + -1x)

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

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

Multiply (-2 + x) * (1 + -1x)
3 + 3x + -1x2 = (-2(1 + -1x) + x(1 + -1x))
3 + 3x + -1x2 = ((1 * -2 + -1x * -2) + x(1 + -1x))
3 + 3x + -1x2 = ((-2 + 2x) + x(1 + -1x))
3 + 3x + -1x2 = (-2 + 2x + (1 * x + -1x * x))
3 + 3x + -1x2 = (-2 + 2x + (1x + -1x2))

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

Add '-3x' to each side of the equation.
3 + 3x + -3x + -1x2 = -2 + 3x + -3x + -1x2

Combine like terms: 3x + -3x = 0
3 + 0 + -1x2 = -2 + 3x + -3x + -1x2
3 + -1x2 = -2 + 3x + -3x + -1x2

Combine like terms: 3x + -3x = 0
3 + -1x2 = -2 + 0 + -1x2
3 + -1x2 = -2 + -1x2

Add 'x2' to each side of the equation.
3 + -1x2 + x2 = -2 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 + 0 = -2 + -1x2 + x2
3 = -2 + -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3 = -2 + 0
3 = -2

Solving
3 = -2

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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