(7+u)(5u-4)=0

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Solution for (7+u)(5u-4)=0 equation: 


Simplifying
(7 + u)(5u + -4) = 0

Reorder the terms:
(7 + u)(-4 + 5u) = 0

Multiply (7 + u) * (-4 + 5u)
(7(-4 + 5u) + u(-4 + 5u)) = 0
((-4 * 7 + 5u * 7) + u(-4 + 5u)) = 0
((-28 + 35u) + u(-4 + 5u)) = 0
(-28 + 35u + (-4 * u + 5u * u)) = 0
(-28 + 35u + (-4u + 5u2)) = 0

Combine like terms: 35u + -4u = 31u
(-28 + 31u + 5u2) = 0

Solving
-28 + 31u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(4 + -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 '(4 + -5u)' equal to zero and attempt to solve:

Simplifying
4 + -5u = 0

Solving
4 + -5u = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5u = 0 + -4
-5u = 0 + -4

Combine like terms: 0 + -4 = -4
-5u = -4

Divide each side by '-5'.
u = 0.8

Simplifying
u = 0.8
Solution
u = {-7, 0.8}

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