(3u-5)(7+u)=0

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Solution for (3u-5)(7+u)=0 equation:


Simplifying
(3u + -5)(7 + u) = 0

Reorder the terms:
(-5 + 3u)(7 + u) = 0

Multiply (-5 + 3u) * (7 + u)
(-5(7 + u) + 3u * (7 + u)) = 0
((7 * -5 + u * -5) + 3u * (7 + u)) = 0
((-35 + -5u) + 3u * (7 + u)) = 0
(-35 + -5u + (7 * 3u + u * 3u)) = 0
(-35 + -5u + (21u + 3u2)) = 0

Combine like terms: -5u + 21u = 16u
(-35 + 16u + 3u2) = 0

Solving
-35 + 16u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(5 + -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 '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 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 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667

Solution

u = {-7, 1.666666667}

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