(5u+2)(7-u)=0

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Solution for (5u+2)(7-u)=0 equation: 


Simplifying
(5u + 2)(7 + -1u) = 0

Reorder the terms:
(2 + 5u)(7 + -1u) = 0

Multiply (2 + 5u) * (7 + -1u)
(2(7 + -1u) + 5u * (7 + -1u)) = 0
((7 * 2 + -1u * 2) + 5u * (7 + -1u)) = 0
((14 + -2u) + 5u * (7 + -1u)) = 0
(14 + -2u + (7 * 5u + -1u * 5u)) = 0
(14 + -2u + (35u + -5u2)) = 0

Combine like terms: -2u + 35u = 33u
(14 + 33u + -5u2) = 0

Solving
14 + 33u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + -1u)(2 + 5u) = 0


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

Simplifying
7 + -1u = 0

Solving
7 + -1u = 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 + -1u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1u = 0 + -7
-1u = 0 + -7

Combine like terms: 0 + -7 = -7
-1u = -7

Divide each side by '-1'.
u = 7

Simplifying
u = 7

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

Simplifying
2 + 5u = 0

Solving
2 + 5u = 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 + 5u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5u = 0 + -2
5u = 0 + -2

Combine like terms: 0 + -2 = -2
5u = -2

Divide each side by '5'.
u = -0.4

Simplifying
u = -0.4
Solution
u = {7, -0.4}

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