(2u+9)(7-u)=0

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Solution for (2u+9)(7-u)=0 equation:


Simplifying
(2u + 9)(7 + -1u) = 0

Reorder the terms:
(9 + 2u)(7 + -1u) = 0

Multiply (9 + 2u) * (7 + -1u)
(9(7 + -1u) + 2u * (7 + -1u)) = 0
((7 * 9 + -1u * 9) + 2u * (7 + -1u)) = 0
((63 + -9u) + 2u * (7 + -1u)) = 0
(63 + -9u + (7 * 2u + -1u * 2u)) = 0
(63 + -9u + (14u + -2u2)) = 0

Combine like terms: -9u + 14u = 5u
(63 + 5u + -2u2) = 0

Solving
63 + 5u + -2u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(7 + -1u)(9 + 2u) = 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 '(9 + 2u)' equal to zero and attempt to solve: Simplifying 9 + 2u = 0 Solving 9 + 2u = 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 + 2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2u = 0 + -9 2u = 0 + -9 Combine like terms: 0 + -9 = -9 2u = -9 Divide each side by '2'. u = -4.5 Simplifying u = -4.5

Solution

u = {7, -4.5}

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