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

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


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

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

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

Combine like terms: -7u + 36u = 29u
(-63 + 29u + 4u2) = 0

Solving
-63 + 29u + 4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-9 + -1u)(7 + -4u) = 0


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

Simplifying
-9 + -1u = 0

Solving
-9 + -1u = 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 + -1u = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1u = 0 + 9
-1u = 0 + 9

Combine like terms: 0 + 9 = 9
-1u = 9

Divide each side by '-1'.
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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