(2x-11)(4x-5)=0

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Solution for (2x-11)(4x-5)=0 equation: 


Simplifying
(2x + -11)(4x + -5) = 0

Reorder the terms:
(-11 + 2x)(4x + -5) = 0

Reorder the terms:
(-11 + 2x)(-5 + 4x) = 0

Multiply (-11 + 2x) * (-5 + 4x)
(-11(-5 + 4x) + 2x * (-5 + 4x)) = 0
((-5 * -11 + 4x * -11) + 2x * (-5 + 4x)) = 0
((55 + -44x) + 2x * (-5 + 4x)) = 0
(55 + -44x + (-5 * 2x + 4x * 2x)) = 0
(55 + -44x + (-10x + 8x2)) = 0

Combine like terms: -44x + -10x = -54x
(55 + -54x + 8x2) = 0

Solving
55 + -54x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -4x)(11 + -2x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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 = {1.25, 5.5}

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