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

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Solution for (9-u)(4u-7)=0 equation: 


Simplifying
(9 + -1u)(4u + -7) = 0

Reorder the terms:
(9 + -1u)(-7 + 4u) = 0

Multiply (9 + -1u) * (-7 + 4u)
(9(-7 + 4u) + -1u * (-7 + 4u)) = 0
((-7 * 9 + 4u * 9) + -1u * (-7 + 4u)) = 0
((-63 + 36u) + -1u * (-7 + 4u)) = 0
(-63 + 36u + (-7 * -1u + 4u * -1u)) = 0
(-63 + 36u + (7u + -4u2)) = 0

Combine like terms: 36u + 7u = 43u
(-63 + 43u + -4u2) = 0

Solving
-63 + 43u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-9 + u)(7 + -4u) = 0


Subproblem 1
Set the factor '(-9 + u)' equal to zero and attempt to solve:

Simplifying
-9 + u = 0

Solving
-9 + u = 0

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

Add '9' to each side of the equation.
-9 + 9 + u = 0 + 9

Combine like terms: -9 + 9 = 0
0 + u = 0 + 9
u = 0 + 9

Combine like terms: 0 + 9 = 9
u = 9

Simplifying
u = 9

Subproblem 2
Set the factor '(7 + -4u)' equal to zero and attempt to solve:

Simplifying
7 + -4u = 0

Solving
7 + -4u = 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 + -4u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4u = 0 + -7
-4u = 0 + -7

Combine like terms: 0 + -7 = -7
-4u = -7

Divide each side by '-4'.
u = 1.75

Simplifying
u = 1.75
Solution
u = {9, 1.75}

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