(10x+x)(3x-11)=

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Solution for (10x+x)(3x-11)= equation: 


Simplifying
(10x + x)(3x + -11) = 0

Combine like terms: 10x + x = 11x
(11x)(3x + -11) = 0

Remove parenthesis around (11x)
11x(3x + -11) = 0

Reorder the terms:
11x(-11 + 3x) = 0
(-11 * 11x + 3x * 11x) = 0
(-121x + 33x2) = 0

Solving
-121x + 33x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11x'.
11x(-11 + 3x) = 0

Ignore the factor 11.

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 '(-11 + 3x)' equal to zero and attempt to solve:

Simplifying
-11 + 3x = 0

Solving
-11 + 3x = 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 + 3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = 0 + 11
3x = 0 + 11

Combine like terms: 0 + 11 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667
Solution
x = {0, 3.666666667}

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