(3u+7u)(6u-5w+7)=

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Solution for (3u+7u)(6u-5w+7)= equation: 


Simplifying
(3u + 7u)(6u + -5w + 7) = 0

Combine like terms: 3u + 7u = 10u
(10u)(6u + -5w + 7) = 0

Remove parenthesis around (10u)
10u(6u + -5w + 7) = 0

Reorder the terms:
10u(7 + 6u + -5w) = 0
(7 * 10u + 6u * 10u + -5w * 10u) = 0

Reorder the terms:
(70u + -50uw + 60u2) = 0
(70u + -50uw + 60u2) = 0

Solving
70u + -50uw + 60u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '10u'.
10u(7 + -5w + 6u) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'u' equal to zero and attempt to solve:

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0

Subproblem 2
Set the factor '(7 + -5w + 6u)' equal to zero and attempt to solve:

Simplifying
7 + -5w + 6u = 0

Reorder the terms:
7 + 6u + -5w = 0

Solving
7 + 6u + -5w = 0

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

Add '-7' to each side of the equation.
7 + 6u + -7 + -5w = 0 + -7

Reorder the terms:
7 + -7 + 6u + -5w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6u + -5w = 0 + -7
6u + -5w = 0 + -7

Combine like terms: 0 + -7 = -7
6u + -5w = -7

Add '5w' to each side of the equation.
6u + -5w + 5w = -7 + 5w

Combine like terms: -5w + 5w = 0
6u + 0 = -7 + 5w
6u = -7 + 5w

Divide each side by '6'.
u = -1.166666667 + 0.8333333333w

Simplifying
u = -1.166666667 + 0.8333333333w
Solution
u = {0, -1.166666667 + 0.8333333333w}

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