-5(u-2)(-u-7)=0

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Solution for -5(u-2)(-u-7)=0 equation: 


Simplifying
-5(u + -2)(-1u + -7) = 0

Reorder the terms:
-5(-2 + u)(-1u + -7) = 0

Reorder the terms:
-5(-2 + u)(-7 + -1u) = 0

Multiply (-2 + u) * (-7 + -1u)
-5(-2(-7 + -1u) + u(-7 + -1u)) = 0
-5((-7 * -2 + -1u * -2) + u(-7 + -1u)) = 0
-5((14 + 2u) + u(-7 + -1u)) = 0
-5(14 + 2u + (-7 * u + -1u * u)) = 0
-5(14 + 2u + (-7u + -1u2)) = 0

Combine like terms: 2u + -7u = -5u
-5(14 + -5u + -1u2) = 0
(14 * -5 + -5u * -5 + -1u2 * -5) = 0
(-70 + 25u + 5u2) = 0

Solving
-70 + 25u + 5u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-14 + 5u + u2) = 0

Factor a trinomial.
5((-7 + -1u)(2 + -1u)) = 0

Ignore the factor 5.

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 '(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
Solution
u = {-7, 2}

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