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

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


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

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

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

Multiply (-7 + u) * (8 + u)
(-7(8 + u) + u(8 + u)) = 0
((8 * -7 + u * -7) + u(8 + u)) = 0
((-56 + -7u) + u(8 + u)) = 0
(-56 + -7u + (8 * u + u * u)) = 0
(-56 + -7u + (8u + u2)) = 0

Combine like terms: -7u + 8u = 1u
(-56 + 1u + u2) = 0

Solving
-56 + 1u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-8 + -1u)(7 + -1u) = 0


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

Simplifying
-8 + -1u = 0

Solving
-8 + -1u = 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 + -1u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1u = 0 + 8
-1u = 0 + 8

Combine like terms: 0 + 8 = 8
-1u = 8

Divide each side by '-1'.
u = -8

Simplifying
u = -8

Subproblem 2
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
Solution
u = {-8, 7}

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