(4u+7)(5u-8)=0

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Solution for (4u+7)(5u-8)=0 equation: 


Simplifying
(4u + 7)(5u + -8) = 0

Reorder the terms:
(7 + 4u)(5u + -8) = 0

Reorder the terms:
(7 + 4u)(-8 + 5u) = 0

Multiply (7 + 4u) * (-8 + 5u)
(7(-8 + 5u) + 4u * (-8 + 5u)) = 0
((-8 * 7 + 5u * 7) + 4u * (-8 + 5u)) = 0
((-56 + 35u) + 4u * (-8 + 5u)) = 0
(-56 + 35u + (-8 * 4u + 5u * 4u)) = 0
(-56 + 35u + (-32u + 20u2)) = 0

Combine like terms: 35u + -32u = 3u
(-56 + 3u + 20u2) = 0

Solving
-56 + 3u + 20u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -4u)(8 + -5u) = 0


Subproblem 1
Set the factor '(-7 + -4u)' equal to zero and attempt to solve:

Simplifying
-7 + -4u = 0

Solving
-7 + -4u = 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 + -4u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4u = 0 + 7
-4u = 0 + 7

Combine like terms: 0 + 7 = 7
-4u = 7

Divide each side by '-4'.
u = -1.75

Simplifying
u = -1.75

Subproblem 2
Set the factor '(8 + -5u)' equal to zero and attempt to solve:

Simplifying
8 + -5u = 0

Solving
8 + -5u = 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 + -5u = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5u = 0 + -8
-5u = 0 + -8

Combine like terms: 0 + -8 = -8
-5u = -8

Divide each side by '-5'.
u = 1.6

Simplifying
u = 1.6
Solution
u = {-1.75, 1.6}

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