(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.
(-7 + -1u)(8 + -1u) = 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 '(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
Solution
u = {-7, 8}

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