(2x-5)*(2-x)=

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Solution for (2x-5)*(2-x)= equation: 


Simplifying
(2x + -5)(2 + -1x) = 0

Reorder the terms:
(-5 + 2x)(2 + -1x) = 0

Multiply (-5 + 2x) * (2 + -1x)
(-5(2 + -1x) + 2x * (2 + -1x)) = 0
((2 * -5 + -1x * -5) + 2x * (2 + -1x)) = 0
((-10 + 5x) + 2x * (2 + -1x)) = 0
(-10 + 5x + (2 * 2x + -1x * 2x)) = 0
(-10 + 5x + (4x + -2x2)) = 0

Combine like terms: 5x + 4x = 9x
(-10 + 9x + -2x2) = 0

Solving
-10 + 9x + -2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + 2x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2.5, 2}

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