(x)(x-7)(x-11)=0

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Solution for (x)(x-7)(x-11)=0 equation: 


Simplifying
(x)(x + -7)(x + -11) = 0

Reorder the terms:
x(-7 + x)(x + -11) = 0

Reorder the terms:
x(-7 + x)(-11 + x) = 0

Multiply (-7 + x) * (-11 + x)
x(-7(-11 + x) + x(-11 + x)) = 0
x((-11 * -7 + x * -7) + x(-11 + x)) = 0
x((77 + -7x) + x(-11 + x)) = 0
x(77 + -7x + (-11 * x + x * x)) = 0
x(77 + -7x + (-11x + x2)) = 0

Combine like terms: -7x + -11x = -18x
x(77 + -18x + x2) = 0
(77 * x + -18x * x + x2 * x) = 0
(77x + -18x2 + x3) = 0

Solving
77x + -18x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(77 + -18x + x2) = 0

Factor a trinomial.
x((7 + -1x)(11 + -1x)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
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 3
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 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 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {0, 7, 11}

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