2(x+11)(x-5)=0

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Solution for 2(x+11)(x-5)=0 equation: 


Simplifying
2(x + 11)(x + -5) = 0

Reorder the terms:
2(11 + x)(x + -5) = 0

Reorder the terms:
2(11 + x)(-5 + x) = 0

Multiply (11 + x) * (-5 + x)
2(11(-5 + x) + x(-5 + x)) = 0
2((-5 * 11 + x * 11) + x(-5 + x)) = 0
2((-55 + 11x) + x(-5 + x)) = 0
2(-55 + 11x + (-5 * x + x * x)) = 0
2(-55 + 11x + (-5x + x2)) = 0

Combine like terms: 11x + -5x = 6x
2(-55 + 6x + x2) = 0
(-55 * 2 + 6x * 2 + x2 * 2) = 0
(-110 + 12x + 2x2) = 0

Solving
-110 + 12x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-55 + 6x + x2) = 0

Factor a trinomial.
2((-11 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-11, 5}

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