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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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