-6(2u-3)5(u-10)=

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Solution for -6(2u-3)5(u-10)= equation: 


Simplifying
-6(2u + -3) * 5(u + -10) = 0

Reorder the terms:
-6(-3 + 2u) * 5(u + -10) = 0

Reorder the terms:
-6(-3 + 2u) * 5(-10 + u) = 0

Reorder the terms for easier multiplication:
-6 * 5(-3 + 2u)(-10 + u) = 0

Multiply -6 * 5
-30(-3 + 2u)(-10 + u) = 0

Multiply (-3 + 2u) * (-10 + u)
-30(-3(-10 + u) + 2u * (-10 + u)) = 0
-30((-10 * -3 + u * -3) + 2u * (-10 + u)) = 0
-30((30 + -3u) + 2u * (-10 + u)) = 0
-30(30 + -3u + (-10 * 2u + u * 2u)) = 0
-30(30 + -3u + (-20u + 2u2)) = 0

Combine like terms: -3u + -20u = -23u
-30(30 + -23u + 2u2) = 0
(30 * -30 + -23u * -30 + 2u2 * -30) = 0
(-900 + 690u + -60u2) = 0

Solving
-900 + 690u + -60u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '30'.
30(-30 + 23u + -2u2) = 0

Factor a trinomial.
30((-10 + u)(3 + -2u)) = 0

Ignore the factor 30.

Subproblem 1
Set the factor '(-10 + u)' equal to zero and attempt to solve:

Simplifying
-10 + u = 0

Solving
-10 + u = 0

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

Add '10' to each side of the equation.
-10 + 10 + u = 0 + 10

Combine like terms: -10 + 10 = 0
0 + u = 0 + 10
u = 0 + 10

Combine like terms: 0 + 10 = 10
u = 10

Simplifying
u = 10

Subproblem 2
Set the factor '(3 + -2u)' equal to zero and attempt to solve:

Simplifying
3 + -2u = 0

Solving
3 + -2u = 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 + -2u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2u = 0 + -3
-2u = 0 + -3

Combine like terms: 0 + -3 = -3
-2u = -3

Divide each side by '-2'.
u = 1.5

Simplifying
u = 1.5
Solution
u = {10, 1.5}

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