(2u-7)(1u)=0

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Solution for (2u-7)(1u)=0 equation: 


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

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

Remove parenthesis around (1u)
(-7 + 2u) * 1u = 0

Reorder the terms for easier multiplication:
1u(-7 + 2u) = 0
(-7 * 1u + 2u * 1u) = 0
(-7u + 2u2) = 0

Solving
-7u + 2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'u'.
u(-7 + 2u) = 0


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 + 2u)' equal to zero and attempt to solve:

Simplifying
-7 + 2u = 0

Solving
-7 + 2u = 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 + 2u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2u = 0 + 7
2u = 0 + 7

Combine like terms: 0 + 7 = 7
2u = 7

Divide each side by '2'.
u = 3.5

Simplifying
u = 3.5
Solution
u = {0, 3.5}

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