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

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


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

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

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

Multiply (-5 + 2x) * (-11 + -2x)
(-5(-11 + -2x) + 2x * (-11 + -2x)) = 0
((-11 * -5 + -2x * -5) + 2x * (-11 + -2x)) = 0
((55 + 10x) + 2x * (-11 + -2x)) = 0
(55 + 10x + (-11 * 2x + -2x * 2x)) = 0
(55 + 10x + (-22x + -4x2)) = 0

Combine like terms: 10x + -22x = -12x
(55 + -12x + -4x2) = 0

Solving
55 + -12x + -4x2 = 0

Solving for variable 'x'.

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


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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
11 + 2x = 0

Solving
11 + 2x = 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 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5
Solution
x = {2.5, -5.5}

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