x^2+6400=(2x+11)*(2x+11)

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Solution for x^2+6400=(2x+11)*(2x+11) equation: 


Simplifying
x2 + 6400 = (2x + 11)(2x + 11)

Reorder the terms:
6400 + x2 = (2x + 11)(2x + 11)

Reorder the terms:
6400 + x2 = (11 + 2x)(2x + 11)

Reorder the terms:
6400 + x2 = (11 + 2x)(11 + 2x)

Multiply (11 + 2x) * (11 + 2x)
6400 + x2 = (11(11 + 2x) + 2x * (11 + 2x))
6400 + x2 = ((11 * 11 + 2x * 11) + 2x * (11 + 2x))
6400 + x2 = ((121 + 22x) + 2x * (11 + 2x))
6400 + x2 = (121 + 22x + (11 * 2x + 2x * 2x))
6400 + x2 = (121 + 22x + (22x + 4x2))

Combine like terms: 22x + 22x = 44x
6400 + x2 = (121 + 44x + 4x2)

Solving
6400 + x2 = 121 + 44x + 4x2

Solving for variable 'x'.

Reorder the terms:
6400 + -121 + -44x + x2 + -4x2 = 121 + 44x + 4x2 + -121 + -44x + -4x2

Combine like terms: 6400 + -121 = 6279
6279 + -44x + x2 + -4x2 = 121 + 44x + 4x2 + -121 + -44x + -4x2

Combine like terms: x2 + -4x2 = -3x2
6279 + -44x + -3x2 = 121 + 44x + 4x2 + -121 + -44x + -4x2

Reorder the terms:
6279 + -44x + -3x2 = 121 + -121 + 44x + -44x + 4x2 + -4x2

Combine like terms: 121 + -121 = 0
6279 + -44x + -3x2 = 0 + 44x + -44x + 4x2 + -4x2
6279 + -44x + -3x2 = 44x + -44x + 4x2 + -4x2

Combine like terms: 44x + -44x = 0
6279 + -44x + -3x2 = 0 + 4x2 + -4x2
6279 + -44x + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
6279 + -44x + -3x2 = 0

Factor a trinomial.
(39 + -1x)(161 + 3x) = 0


Subproblem 1
Set the factor '(39 + -1x)' equal to zero and attempt to solve:

Simplifying
39 + -1x = 0

Solving
39 + -1x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -1x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -1x = 0 + -39
-1x = 0 + -39

Combine like terms: 0 + -39 = -39
-1x = -39

Divide each side by '-1'.
x = 39

Simplifying
x = 39

Subproblem 2
Set the factor '(161 + 3x)' equal to zero and attempt to solve:

Simplifying
161 + 3x = 0

Solving
161 + 3x = 0

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

Add '-161' to each side of the equation.
161 + -161 + 3x = 0 + -161

Combine like terms: 161 + -161 = 0
0 + 3x = 0 + -161
3x = 0 + -161

Combine like terms: 0 + -161 = -161
3x = -161

Divide each side by '3'.
x = -53.66666667

Simplifying
x = -53.66666667
Solution
x = {39, -53.66666667}

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