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

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


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

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

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

Combine like terms: -5u + 14u = 9u
(-35 + 9u + 2u2) = 0

Solving
-35 + 9u + 2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(5 + -2u) = 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 '(5 + -2u)' equal to zero and attempt to solve:

Simplifying
5 + -2u = 0

Solving
5 + -2u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2u = 0 + -5

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

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

Divide each side by '-2'.
u = 2.5

Simplifying
u = 2.5
Solution
u = {-7, 2.5}

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