(x+7)(x-2)=(x+1)squared

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Solution for (x+7)(x-2)=(x+1)squared equation:


Simplifying
(x + 7)(x + -2) = (x + 1) * squared

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

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

Multiply (7 + x) * (-2 + x)
(7(-2 + x) + x(-2 + x)) = (x + 1) * squared
((-2 * 7 + x * 7) + x(-2 + x)) = (x + 1) * squared
((-14 + 7x) + x(-2 + x)) = (x + 1) * squared
(-14 + 7x + (-2 * x + x * x)) = (x + 1) * squared
(-14 + 7x + (-2x + x2)) = (x + 1) * squared

Combine like terms: 7x + -2x = 5x
(-14 + 5x + x2) = (x + 1) * squared

Reorder the terms:
-14 + 5x + x2 = (1 + x) * squared

Reorder the terms for easier multiplication:
-14 + 5x + x2 = adeqrsu(1 + x)
-14 + 5x + x2 = (1 * adeqrsu + x * adeqrsu)
-14 + 5x + x2 = (1adeqrsu + adeqrsux)

Solving
-14 + 5x + x2 = 1adeqrsu + adeqrsux

Solving for variable 'x'.

Reorder the terms:
-14 + -1adeqrsu + -1adeqrsux + 5x + x2 = 1adeqrsu + adeqrsux + -1adeqrsu + -1adeqrsux

Reorder the terms:
-14 + -1adeqrsu + -1adeqrsux + 5x + x2 = 1adeqrsu + -1adeqrsu + adeqrsux + -1adeqrsux

Combine like terms: 1adeqrsu + -1adeqrsu = 0
-14 + -1adeqrsu + -1adeqrsux + 5x + x2 = 0 + adeqrsux + -1adeqrsux
-14 + -1adeqrsu + -1adeqrsux + 5x + x2 = adeqrsux + -1adeqrsux

Combine like terms: adeqrsux + -1adeqrsux = 0
-14 + -1adeqrsu + -1adeqrsux + 5x + x2 = 0

The solution to this equation could not be determined.

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