-3(u-7)(-u-3)=0

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Solution for -3(u-7)(-u-3)=0 equation: 


Simplifying
-3(u + -7)(-1u + -3) = 0

Reorder the terms:
-3(-7 + u)(-1u + -3) = 0

Reorder the terms:
-3(-7 + u)(-3 + -1u) = 0

Multiply (-7 + u) * (-3 + -1u)
-3(-7(-3 + -1u) + u(-3 + -1u)) = 0
-3((-3 * -7 + -1u * -7) + u(-3 + -1u)) = 0
-3((21 + 7u) + u(-3 + -1u)) = 0
-3(21 + 7u + (-3 * u + -1u * u)) = 0
-3(21 + 7u + (-3u + -1u2)) = 0

Combine like terms: 7u + -3u = 4u
-3(21 + 4u + -1u2) = 0
(21 * -3 + 4u * -3 + -1u2 * -3) = 0
(-63 + -12u + 3u2) = 0

Solving
-63 + -12u + 3u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-21 + -4u + u2) = 0

Factor a trinomial.
3((-3 + -1u)(7 + -1u)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -1u)' equal to zero and attempt to solve:

Simplifying
-3 + -1u = 0

Solving
-3 + -1u = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1u = 0 + 3
-1u = 0 + 3

Combine like terms: 0 + 3 = 3
-1u = 3

Divide each side by '-1'.
u = -3

Simplifying
u = -3

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 = {-3, 7}

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