(x-4)(x-11)=8

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Solution for (x-4)(x-11)=8 equation: 


Simplifying
(x + -4)(x + -11) = 8

Reorder the terms:
(-4 + x)(x + -11) = 8

Reorder the terms:
(-4 + x)(-11 + x) = 8

Multiply (-4 + x) * (-11 + x)
(-4(-11 + x) + x(-11 + x)) = 8
((-11 * -4 + x * -4) + x(-11 + x)) = 8
((44 + -4x) + x(-11 + x)) = 8
(44 + -4x + (-11 * x + x * x)) = 8
(44 + -4x + (-11x + x2)) = 8

Combine like terms: -4x + -11x = -15x
(44 + -15x + x2) = 8

Solving
44 + -15x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
44 + -8 + -15x + x2 = 8 + -8

Combine like terms: 44 + -8 = 36
36 + -15x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
36 + -15x + x2 = 0

Factor a trinomial.
(3 + -1x)(12 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {3, 12}

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