(2x+6)(x-11)=0

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Solution for (2x+6)(x-11)=0 equation: 


Simplifying
(2x + 6)(x + -11) = 0

Reorder the terms:
(6 + 2x)(x + -11) = 0

Reorder the terms:
(6 + 2x)(-11 + x) = 0

Multiply (6 + 2x) * (-11 + x)
(6(-11 + x) + 2x * (-11 + x)) = 0
((-11 * 6 + x * 6) + 2x * (-11 + x)) = 0
((-66 + 6x) + 2x * (-11 + x)) = 0
(-66 + 6x + (-11 * 2x + x * 2x)) = 0
(-66 + 6x + (-22x + 2x2)) = 0

Combine like terms: 6x + -22x = -16x
(-66 + -16x + 2x2) = 0

Solving
-66 + -16x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-33 + -8x + x2) = 0

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

Ignore the factor 2.

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 '(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 = {-3, 11}

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