(4x-5)*(4-2x)=

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


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

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

Multiply (-5 + 4x) * (4 + -2x)
(-5(4 + -2x) + 4x * (4 + -2x)) = 0
((4 * -5 + -2x * -5) + 4x * (4 + -2x)) = 0
((-20 + 10x) + 4x * (4 + -2x)) = 0
(-20 + 10x + (4 * 4x + -2x * 4x)) = 0
(-20 + 10x + (16x + -8x2)) = 0

Combine like terms: 10x + 16x = 26x
(-20 + 26x + -8x2) = 0

Solving
-20 + 26x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 13x + -4x2) = 0

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

Ignore the factor 2.

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

Simplifying
-2 + x = 0

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

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

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

Simplifying
x = 2

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 = {2, 1.25}

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