(2-2x-3)(2-4x+3)=

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Solution for (2-2x-3)(2-4x+3)= equation: 


Simplifying
(2 + -2x + -3)(2 + -4x + 3) = 0

Reorder the terms:
(2 + -3 + -2x)(2 + -4x + 3) = 0

Combine like terms: 2 + -3 = -1
(-1 + -2x)(2 + -4x + 3) = 0

Reorder the terms:
(-1 + -2x)(2 + 3 + -4x) = 0

Combine like terms: 2 + 3 = 5
(-1 + -2x)(5 + -4x) = 0

Multiply (-1 + -2x) * (5 + -4x)
(-1(5 + -4x) + -2x * (5 + -4x)) = 0
((5 * -1 + -4x * -1) + -2x * (5 + -4x)) = 0
((-5 + 4x) + -2x * (5 + -4x)) = 0
(-5 + 4x + (5 * -2x + -4x * -2x)) = 0
(-5 + 4x + (-10x + 8x2)) = 0

Combine like terms: 4x + -10x = -6x
(-5 + -6x + 8x2) = 0

Solving
-5 + -6x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -2x)(5 + -4x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
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
Solution
x = {-0.5, 1.25}

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