11=x(x-4)-2(x-4)(x+4)

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Solution for 11=x(x-4)-2(x-4)(x+4) equation: 


Simplifying
11 = x(x + -4) + -2(x + -4)(x + 4)

Reorder the terms:
11 = x(-4 + x) + -2(x + -4)(x + 4)
11 = (-4 * x + x * x) + -2(x + -4)(x + 4)
11 = (-4x + x2) + -2(x + -4)(x + 4)

Reorder the terms:
11 = -4x + x2 + -2(-4 + x)(x + 4)

Reorder the terms:
11 = -4x + x2 + -2(-4 + x)(4 + x)

Multiply (-4 + x) * (4 + x)
11 = -4x + x2 + -2(-4(4 + x) + x(4 + x))
11 = -4x + x2 + -2((4 * -4 + x * -4) + x(4 + x))
11 = -4x + x2 + -2((-16 + -4x) + x(4 + x))
11 = -4x + x2 + -2(-16 + -4x + (4 * x + x * x))
11 = -4x + x2 + -2(-16 + -4x + (4x + x2))

Combine like terms: -4x + 4x = 0
11 = -4x + x2 + -2(-16 + 0 + x2)
11 = -4x + x2 + -2(-16 + x2)
11 = -4x + x2 + (-16 * -2 + x2 * -2)
11 = -4x + x2 + (32 + -2x2)

Reorder the terms:
11 = 32 + -4x + x2 + -2x2

Combine like terms: x2 + -2x2 = -1x2
11 = 32 + -4x + -1x2

Solving
11 = 32 + -4x + -1x2

Solving for variable 'x'.

Combine like terms: 11 + -32 = -21
-21 + 4x + x2 = 32 + -4x + -1x2 + -32 + 4x + x2

Reorder the terms:
-21 + 4x + x2 = 32 + -32 + -4x + 4x + -1x2 + x2

Combine like terms: 32 + -32 = 0
-21 + 4x + x2 = 0 + -4x + 4x + -1x2 + x2
-21 + 4x + x2 = -4x + 4x + -1x2 + x2

Combine like terms: -4x + 4x = 0
-21 + 4x + x2 = 0 + -1x2 + x2
-21 + 4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-21 + 4x + x2 = 0

Factor a trinomial.
(-7 + -1x)(3 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

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

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

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-7, 3}

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