(u+2)(u-7)=

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

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

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

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

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

Combine like terms: 2u + -7u = -5u
(-14 + -5u + u2) = 0

Solving
-14 + -5u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + -1u)(7 + -1u) = 0

Subproblem 1
Set the factor '(-2 + -1u)' equal to zero and attempt to solve:

Simplifying
-2 + -1u = 0

Solving
-2 + -1u = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1u = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1u = 0 + 2
-1u = 0 + 2

Combine like terms: 0 + 2 = 2
-1u = 2

Divide each side by '-1'.
u = -2

Simplifying
u = -2
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 = {-2, 7}