(u+9)(u+7)=99

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Solution for (u+9)(u+7)=99 equation: 


Simplifying
(u + 9)(u + 7) = 99

Reorder the terms:
(9 + u)(u + 7) = 99

Reorder the terms:
(9 + u)(7 + u) = 99

Multiply (9 + u) * (7 + u)
(9(7 + u) + u(7 + u)) = 99
((7 * 9 + u * 9) + u(7 + u)) = 99
((63 + 9u) + u(7 + u)) = 99
(63 + 9u + (7 * u + u * u)) = 99
(63 + 9u + (7u + u2)) = 99

Combine like terms: 9u + 7u = 16u
(63 + 16u + u2) = 99

Solving
63 + 16u + u2 = 99

Solving for variable 'u'.

Reorder the terms:
63 + -99 + 16u + u2 = 99 + -99

Combine like terms: 63 + -99 = -36
-36 + 16u + u2 = 99 + -99

Combine like terms: 99 + -99 = 0
-36 + 16u + u2 = 0

Factor a trinomial.
(-18 + -1u)(2 + -1u) = 0


Subproblem 1
Set the factor '(-18 + -1u)' equal to zero and attempt to solve:

Simplifying
-18 + -1u = 0

Solving
-18 + -1u = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1u = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1u = 0 + 18
-1u = 0 + 18

Combine like terms: 0 + 18 = 18
-1u = 18

Divide each side by '-1'.
u = -18

Simplifying
u = -18

Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {-18, 2}

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