(u+7)(u-4)=

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


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

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

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

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

Combine like terms: 7u + -4u = 3u
(-28 + 3u + u2) = 0

Solving
-28 + 3u + u2 = 0

Solving for variable 'u'.

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

Simplifying
4 + -1u = 0

Solving
4 + -1u = 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 + -1u = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1u = 0 + -4
-1u = 0 + -4

Combine like terms: 0 + -4 = -4
-1u = -4

Divide each side by '-1'.
u = 4

Simplifying
u = 4
Solution
u = {-7, 4}

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