36=x^2+8x+16

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Solution for 36=x^2+8x+16 equation: 


Simplifying
36 = x2 + 8x + 16

Reorder the terms:
36 = 16 + 8x + x2

Solving
36 = 16 + 8x + x2

Solving for variable 'x'.

Combine like terms: 36 + -16 = 20
20 + -8x + -1x2 = 16 + 8x + x2 + -16 + -8x + -1x2

Reorder the terms:
20 + -8x + -1x2 = 16 + -16 + 8x + -8x + x2 + -1x2

Combine like terms: 16 + -16 = 0
20 + -8x + -1x2 = 0 + 8x + -8x + x2 + -1x2
20 + -8x + -1x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
20 + -8x + -1x2 = 0 + x2 + -1x2
20 + -8x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
20 + -8x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(10 + x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {2, -10}

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