(8+u)(6+u)=3

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Solution for (8+u)(6+u)=3 equation:


Simplifying
(8 + u)(6 + u) = 3

Multiply (8 + u) * (6 + u)
(8(6 + u) + u(6 + u)) = 3
((6 * 8 + u * 8) + u(6 + u)) = 3
((48 + 8u) + u(6 + u)) = 3
(48 + 8u + (6 * u + u * u)) = 3
(48 + 8u + (6u + u2)) = 3

Combine like terms: 8u + 6u = 14u
(48 + 14u + u2) = 3

Solving
48 + 14u + u2 = 3

Solving for variable 'u'.

Reorder the terms:
48 + -3 + 14u + u2 = 3 + -3

Combine like terms: 48 + -3 = 45
45 + 14u + u2 = 3 + -3

Combine like terms: 3 + -3 = 0
45 + 14u + u2 = 0

Factor a trinomial.
(9 + u)(5 + u) = 0

Subproblem 1

Set the factor '(9 + u)' equal to zero and attempt to solve: Simplifying 9 + u = 0 Solving 9 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + u = 0 + -9 u = 0 + -9 Combine like terms: 0 + -9 = -9 u = -9 Simplifying u = -9

Subproblem 2

Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5

Solution

u = {-9, -5}

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