(x+5)(x+1)=x^2+17

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Solution for (x+5)(x+1)=x^2+17 equation: 


Simplifying
(x + 5)(x + 1) = x2 + 17

Reorder the terms:
(5 + x)(x + 1) = x2 + 17

Reorder the terms:
(5 + x)(1 + x) = x2 + 17

Multiply (5 + x) * (1 + x)
(5(1 + x) + x(1 + x)) = x2 + 17
((1 * 5 + x * 5) + x(1 + x)) = x2 + 17
((5 + 5x) + x(1 + x)) = x2 + 17
(5 + 5x + (1 * x + x * x)) = x2 + 17
(5 + 5x + (1x + x2)) = x2 + 17

Combine like terms: 5x + 1x = 6x
(5 + 6x + x2) = x2 + 17

Reorder the terms:
5 + 6x + x2 = 17 + x2

Add '-1x2' to each side of the equation.
5 + 6x + x2 + -1x2 = 17 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + 6x + 0 = 17 + x2 + -1x2
5 + 6x = 17 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
5 + 6x = 17 + 0
5 + 6x = 17

Solving
5 + 6x = 17

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 6x = 17 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 17 + -5
6x = 17 + -5

Combine like terms: 17 + -5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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