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

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


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

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

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

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

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

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

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

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

Combine like terms: 2adeqrsu + 3adeqrsu = 5adeqrsu
1adeqrsu + adeqrsux = 5adeqrsu + adeqrsux + adeqrsux

Combine like terms: adeqrsux + adeqrsux = 2adeqrsux
1adeqrsu + adeqrsux = 5adeqrsu + 2adeqrsux

Solving
1adeqrsu + adeqrsux = 5adeqrsu + 2adeqrsux

Solving for variable 'a'.

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

Add '-5adeqrsu' to each side of the equation.
1adeqrsu + -5adeqrsu + adeqrsux = 5adeqrsu + -5adeqrsu + 2adeqrsux

Combine like terms: 1adeqrsu + -5adeqrsu = -4adeqrsu
-4adeqrsu + adeqrsux = 5adeqrsu + -5adeqrsu + 2adeqrsux

Combine like terms: 5adeqrsu + -5adeqrsu = 0
-4adeqrsu + adeqrsux = 0 + 2adeqrsux
-4adeqrsu + adeqrsux = 2adeqrsux

Add '-2adeqrsux' to each side of the equation.
-4adeqrsu + adeqrsux + -2adeqrsux = 2adeqrsux + -2adeqrsux

Combine like terms: adeqrsux + -2adeqrsux = -1adeqrsux
-4adeqrsu + -1adeqrsux = 2adeqrsux + -2adeqrsux

Combine like terms: 2adeqrsux + -2adeqrsux = 0
-4adeqrsu + -1adeqrsux = 0

Factor out the Greatest Common Factor (GCF), '-1adeqrsu'.
-1adeqrsu(4 + x) = 0

Ignore the factor -1.

Subproblem 1

Set the factor 'adeqrsu' equal to zero and attempt to solve: Simplifying adeqrsu = 0 Solving adeqrsu = 0 Move all terms containing a to the left, all other terms to the right. Simplifying adeqrsu = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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