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

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

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

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

Reorder the terms for easier multiplication:
2(2 + x) + -1(x + 1) * 2 = 1
(2 * 2 + x * 2) + -1(x + 1) * 2 = 1
(4 + 2x) + -1(x + 1) * 2 = 1

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

Reorder the terms for easier multiplication:
4 + 2x + -1 * 2(1 + x) = 1

Multiply -1 * 2
4 + 2x + -2(1 + x) = 1
4 + 2x + (1 * -2 + x * -2) = 1
4 + 2x + (-2 + -2x) = 1

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

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

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

Solving
2 = 1

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.