(7+u)(3u-2)=0

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Solution for (7+u)(3u-2)=0 equation: 


Simplifying
(7 + u)(3u + -2) = 0

Reorder the terms:
(7 + u)(-2 + 3u) = 0

Multiply (7 + u) * (-2 + 3u)
(7(-2 + 3u) + u(-2 + 3u)) = 0
((-2 * 7 + 3u * 7) + u(-2 + 3u)) = 0
((-14 + 21u) + u(-2 + 3u)) = 0
(-14 + 21u + (-2 * u + 3u * u)) = 0
(-14 + 21u + (-2u + 3u2)) = 0

Combine like terms: 21u + -2u = 19u
(-14 + 19u + 3u2) = 0

Solving
-14 + 19u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(2 + -3u) = 0


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 + -3u)' equal to zero and attempt to solve:

Simplifying
2 + -3u = 0

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

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

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

Divide each side by '-3'.
u = 0.6666666667

Simplifying
u = 0.6666666667
Solution
u = {-7, 0.6666666667}

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