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

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


Simplifying
(x + 7)(x + -1) = x2 + 1

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

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

Multiply (7 + x) * (-1 + x)
(7(-1 + x) + x(-1 + x)) = x2 + 1
((-1 * 7 + x * 7) + x(-1 + x)) = x2 + 1
((-7 + 7x) + x(-1 + x)) = x2 + 1
(-7 + 7x + (-1 * x + x * x)) = x2 + 1
(-7 + 7x + (-1x + x2)) = x2 + 1

Combine like terms: 7x + -1x = 6x
(-7 + 6x + x2) = x2 + 1

Reorder the terms:
-7 + 6x + x2 = 1 + x2

Add '-1x2' to each side of the equation.
-7 + 6x + x2 + -1x2 = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 6x + 0 = 1 + x2 + -1x2
-7 + 6x = 1 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7 + 6x = 1 + 0
-7 + 6x = 1

Solving
-7 + 6x = 1

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 1 + 7
6x = 1 + 7

Combine like terms: 1 + 7 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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