(5x-11)x(4x-10)=

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Solution for (5x-11)x(4x-10)= equation: 


Simplifying
(5x + -11) * x(4x + -10) = 0

Reorder the terms:
(-11 + 5x) * x(4x + -10) = 0

Reorder the terms:
(-11 + 5x) * x(-10 + 4x) = 0

Reorder the terms for easier multiplication:
x(-11 + 5x)(-10 + 4x) = 0

Multiply (-11 + 5x) * (-10 + 4x)
x(-11(-10 + 4x) + 5x * (-10 + 4x)) = 0
x((-10 * -11 + 4x * -11) + 5x * (-10 + 4x)) = 0
x((110 + -44x) + 5x * (-10 + 4x)) = 0
x(110 + -44x + (-10 * 5x + 4x * 5x)) = 0
x(110 + -44x + (-50x + 20x2)) = 0

Combine like terms: -44x + -50x = -94x
x(110 + -94x + 20x2) = 0
(110 * x + -94x * x + 20x2 * x) = 0
(110x + -94x2 + 20x3) = 0

Solving
110x + -94x2 + 20x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(55 + -47x + 10x2) = 0

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

Ignore the factor 2.

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 + -5x)' equal to zero and attempt to solve:

Simplifying
11 + -5x = 0

Solving
11 + -5x = 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 + -5x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5x = 0 + -11
-5x = 0 + -11

Combine like terms: 0 + -11 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

Subproblem 3
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
Solution
x = {0, 2.2, 2.5}

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