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

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


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

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

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

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

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

Solving
-28 + -3u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(7 + -1u) = 0


Subproblem 1
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

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 = {-4, 7}

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