(5U-8)(4U-4)=

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Solution for (5U-8)(4U-4)= equation: 


Simplifying
(5U + -8)(4U + -4) = 0

Reorder the terms:
(-8 + 5U)(4U + -4) = 0

Reorder the terms:
(-8 + 5U)(-4 + 4U) = 0

Multiply (-8 + 5U) * (-4 + 4U)
(-8(-4 + 4U) + 5U * (-4 + 4U)) = 0
((-4 * -8 + 4U * -8) + 5U * (-4 + 4U)) = 0
((32 + -32U) + 5U * (-4 + 4U)) = 0
(32 + -32U + (-4 * 5U + 4U * 5U)) = 0
(32 + -32U + (-20U + 20U2)) = 0

Combine like terms: -32U + -20U = -52U
(32 + -52U + 20U2) = 0

Solving
32 + -52U + 20U2 = 0

Solving for variable 'U'.

Factor out the Greatest Common Factor (GCF), '4'.
4(8 + -13U + 5U2) = 0

Factor a trinomial.
4((1 + -1U)(8 + -5U)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1U = 0

Solving
1 + -1U = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1U = 0 + -1
-1U = 0 + -1

Combine like terms: 0 + -1 = -1
-1U = -1

Divide each side by '-1'.
U = 1

Simplifying
U = 1

Subproblem 2
Set the factor '(8 + -5U)' equal to zero and attempt to solve:

Simplifying
8 + -5U = 0

Solving
8 + -5U = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5U = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5U = 0 + -8
-5U = 0 + -8

Combine like terms: 0 + -8 = -8
-5U = -8

Divide each side by '-5'.
U = 1.6

Simplifying
U = 1.6
Solution
U = {1, 1.6}

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