=3(x-2)(x-11)

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Solution for =3(x-2)(x-11) equation: 


Simplifying
0 = 3(x + -2)(x + -11)

Reorder the terms:
0 = 3(-2 + x)(x + -11)

Reorder the terms:
0 = 3(-2 + x)(-11 + x)

Multiply (-2 + x) * (-11 + x)
0 = 3(-2(-11 + x) + x(-11 + x))
0 = 3((-11 * -2 + x * -2) + x(-11 + x))
0 = 3((22 + -2x) + x(-11 + x))
0 = 3(22 + -2x + (-11 * x + x * x))
0 = 3(22 + -2x + (-11x + x2))

Combine like terms: -2x + -11x = -13x
0 = 3(22 + -13x + x2)
0 = (22 * 3 + -13x * 3 + x2 * 3)
0 = (66 + -39x + 3x2)

Solving
0 = 66 + -39x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + -66 = -66
-66 + 39x + -3x2 = 66 + -39x + 3x2 + -66 + 39x + -3x2

Reorder the terms:
-66 + 39x + -3x2 = 66 + -66 + -39x + 39x + 3x2 + -3x2

Combine like terms: 66 + -66 = 0
-66 + 39x + -3x2 = 0 + -39x + 39x + 3x2 + -3x2
-66 + 39x + -3x2 = -39x + 39x + 3x2 + -3x2

Combine like terms: -39x + 39x = 0
-66 + 39x + -3x2 = 0 + 3x2 + -3x2
-66 + 39x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-66 + 39x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-22 + 13x + -1x2) = 0

Factor a trinomial.
3((-11 + x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

Simplifying
x = 11

Subproblem 2
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
Solution
x = {11, 2}

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