(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 = 23u
(14 + 23u + 3u2) = 0

Solving
14 + 23u + 3u2 = 0

Solving for variable 'u'.

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

Subproblem 1

Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 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 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 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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