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

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


Simplifying
((x + 3)(x + -1)) + -1(x2 + 3x) + (x + -1) = 0

Reorder the terms:
((3 + x)(x + -1)) + -1(x2 + 3x) + (x + -1) = 0

Reorder the terms:
((3 + x)(-1 + x)) + -1(x2 + 3x) + (x + -1) = 0

Multiply (3 + x) * (-1 + x)
((3(-1 + x) + x(-1 + x))) + -1(x2 + 3x) + (x + -1) = 0
(((-1 * 3 + x * 3) + x(-1 + x))) + -1(x2 + 3x) + (x + -1) = 0
(((-3 + 3x) + x(-1 + x))) + -1(x2 + 3x) + (x + -1) = 0
((-3 + 3x + (-1 * x + x * x))) + -1(x2 + 3x) + (x + -1) = 0
((-3 + 3x + (-1x + x2))) + -1(x2 + 3x) + (x + -1) = 0

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

Remove parenthesis around (-3 + 2x + x2)
-3 + 2x + x2 + -1(x2 + 3x) + (x + -1) = 0

Reorder the terms:
-3 + 2x + x2 + -1(3x + x2) + (x + -1) = 0
-3 + 2x + x2 + (3x * -1 + x2 * -1) + (x + -1) = 0
-3 + 2x + x2 + (-3x + -1x2) + (x + -1) = 0

Reorder the terms:
-3 + 2x + x2 + -3x + -1x2 + (-1 + x) = 0

Remove parenthesis around (-1 + x)
-3 + 2x + x2 + -3x + -1x2 + -1 + x = 0

Reorder the terms:
-3 + -1 + 2x + -3x + x + x2 + -1x2 = 0

Combine like terms: -3 + -1 = -4
-4 + 2x + -3x + x + x2 + -1x2 = 0

Combine like terms: 2x + -3x = -1x
-4 + -1x + x + x2 + -1x2 = 0

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

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

Solving
-4 = 0

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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