(x^2+16)-(5x+5)=3x-5

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Solution for (x^2+16)-(5x+5)=3x-5 equation: 


Simplifying
(x2 + 16) + -1(5x + 5) = 3x + -5

Reorder the terms:
(16 + x2) + -1(5x + 5) = 3x + -5

Remove parenthesis around (16 + x2)
16 + x2 + -1(5x + 5) = 3x + -5

Reorder the terms:
16 + x2 + -1(5 + 5x) = 3x + -5
16 + x2 + (5 * -1 + 5x * -1) = 3x + -5
16 + x2 + (-5 + -5x) = 3x + -5

Reorder the terms:
16 + -5 + -5x + x2 = 3x + -5

Combine like terms: 16 + -5 = 11
11 + -5x + x2 = 3x + -5

Reorder the terms:
11 + -5x + x2 = -5 + 3x

Solving
11 + -5x + x2 = -5 + 3x

Solving for variable 'x'.

Reorder the terms:
11 + 5 + -5x + -3x + x2 = -5 + 3x + 5 + -3x

Combine like terms: 11 + 5 = 16
16 + -5x + -3x + x2 = -5 + 3x + 5 + -3x

Combine like terms: -5x + -3x = -8x
16 + -8x + x2 = -5 + 3x + 5 + -3x

Reorder the terms:
16 + -8x + x2 = -5 + 5 + 3x + -3x

Combine like terms: -5 + 5 = 0
16 + -8x + x2 = 0 + 3x + -3x
16 + -8x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -8x + x2 = 0

Factor a trinomial.
(4 + -1x)(4 + -1x) = 0


Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {4, 4}

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