(4-u)(5u-7)=0

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Solution for (4-u)(5u-7)=0 equation: 


Simplifying
(4 + -1u)(5u + -7) = 0

Reorder the terms:
(4 + -1u)(-7 + 5u) = 0

Multiply (4 + -1u) * (-7 + 5u)
(4(-7 + 5u) + -1u * (-7 + 5u)) = 0
((-7 * 4 + 5u * 4) + -1u * (-7 + 5u)) = 0
((-28 + 20u) + -1u * (-7 + 5u)) = 0
(-28 + 20u + (-7 * -1u + 5u * -1u)) = 0
(-28 + 20u + (7u + -5u2)) = 0

Combine like terms: 20u + 7u = 27u
(-28 + 27u + -5u2) = 0

Solving
-28 + 27u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + u)(7 + -5u) = 0


Subproblem 1
Set the factor '(-4 + u)' equal to zero and attempt to solve:

Simplifying
-4 + u = 0

Solving
-4 + u = 0

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

Add '4' to each side of the equation.
-4 + 4 + u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + u = 0 + 4
u = 0 + 4

Combine like terms: 0 + 4 = 4
u = 4

Simplifying
u = 4

Subproblem 2
Set the factor '(7 + -5u)' equal to zero and attempt to solve:

Simplifying
7 + -5u = 0

Solving
7 + -5u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5u = 0 + -7
-5u = 0 + -7

Combine like terms: 0 + -7 = -7
-5u = -7

Divide each side by '-5'.
u = 1.4

Simplifying
u = 1.4
Solution
u = {4, 1.4}

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