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

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


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

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

Multiply (-4 + 5u) * (7 + -1u)
(-4(7 + -1u) + 5u * (7 + -1u)) = 0
((7 * -4 + -1u * -4) + 5u * (7 + -1u)) = 0
((-28 + 4u) + 5u * (7 + -1u)) = 0
(-28 + 4u + (7 * 5u + -1u * 5u)) = 0
(-28 + 4u + (35u + -5u2)) = 0

Combine like terms: 4u + 35u = 39u
(-28 + 39u + -5u2) = 0

Solving
-28 + 39u + -5u2 = 0

Solving for variable 'u'.

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


Subproblem 1
Set the factor '(-7 + u)' equal to zero and attempt to solve:

Simplifying
-7 + u = 0

Solving
-7 + u = 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 + u = 0 + 7

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

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

Simplifying
u = 7

Subproblem 2
Set the factor '(4 + -5u)' equal to zero and attempt to solve:

Simplifying
4 + -5u = 0

Solving
4 + -5u = 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 + -5u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5u = 0 + -4
-5u = 0 + -4

Combine like terms: 0 + -4 = -4
-5u = -4

Divide each side by '-5'.
u = 0.8

Simplifying
u = 0.8
Solution
u = {7, 0.8}

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