(7u+9)(u+7)=47

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Solution for (7u+9)(u+7)=47 equation: 


Simplifying
(7u + 9)(u + 7) = 47

Reorder the terms:
(9 + 7u)(u + 7) = 47

Reorder the terms:
(9 + 7u)(7 + u) = 47

Multiply (9 + 7u) * (7 + u)
(9(7 + u) + 7u * (7 + u)) = 47
((7 * 9 + u * 9) + 7u * (7 + u)) = 47
((63 + 9u) + 7u * (7 + u)) = 47
(63 + 9u + (7 * 7u + u * 7u)) = 47
(63 + 9u + (49u + 7u2)) = 47

Combine like terms: 9u + 49u = 58u
(63 + 58u + 7u2) = 47

Solving
63 + 58u + 7u2 = 47

Solving for variable 'u'.

Reorder the terms:
63 + -47 + 58u + 7u2 = 47 + -47

Combine like terms: 63 + -47 = 16
16 + 58u + 7u2 = 47 + -47

Combine like terms: 47 + -47 = 0
16 + 58u + 7u2 = 0

Factor a trinomial.
(8 + u)(2 + 7u) = 0


Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve:

Simplifying
8 + u = 0

Solving
8 + u = 0

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

Add '-8' to each side of the equation.
8 + -8 + u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + u = 0 + -8
u = 0 + -8

Combine like terms: 0 + -8 = -8
u = -8

Simplifying
u = -8

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

Simplifying
2 + 7u = 0

Solving
2 + 7u = 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 + 7u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7u = 0 + -2
7u = 0 + -2

Combine like terms: 0 + -2 = -2
7u = -2

Divide each side by '7'.
u = -0.2857142857

Simplifying
u = -0.2857142857
Solution
u = {-8, -0.2857142857}

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