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

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

Simplifying
(x + 1) * squared = (x + 2) * squared + (x + 3)

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

Reorder the terms for easier multiplication:
adeqrsu(1 + x) = (x + 2) * squared + (x + 3)
(1 * adeqrsu + x * adeqrsu) = (x + 2) * squared + (x + 3)
(1adeqrsu + adeqrsux) = (x + 2) * squared + (x + 3)

Reorder the terms:
1adeqrsu + adeqrsux = (2 + x) * squared + (x + 3)

Reorder the terms for easier multiplication:
1adeqrsu + adeqrsux = adeqrsu(2 + x) + (x + 3)
1adeqrsu + adeqrsux = (2 * adeqrsu + x * adeqrsu) + (x + 3)
1adeqrsu + adeqrsux = (2adeqrsu + adeqrsux) + (x + 3)

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

Remove parenthesis around (3 + x)
1adeqrsu + adeqrsux = 2adeqrsu + adeqrsux + 3 + x

Reorder the terms:
1adeqrsu + adeqrsux = 3 + 2adeqrsu + adeqrsux + x

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

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

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

Solving
1adeqrsu = 3 + 2adeqrsu + x

Solving for variable 'a'.

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

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

Combine like terms: 1adeqrsu + -2adeqrsu = -1adeqrsu
-1adeqrsu = 3 + 2adeqrsu + -2adeqrsu + x

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

Divide each side by '-1deqrsu'.
a = -3d-1e-1q-1r-1s-1u-1 + -1d-1e-1q-1r-1s-1u-1x

Simplifying
a = -3d-1e-1q-1r-1s-1u-1 + -1d-1e-1q-1r-1s-1u-1x