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

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


Simplifying
x(x + 1) + 1 = x2 + x + -2

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

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

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

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

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

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

Solving
1 + 1x = -2 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
0 = -3

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

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

The solution to this equation could not be determined.

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