(7+u)(3u-4)=0

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Solution for (7+u)(3u-4)=0 equation:


Simplifying
(7 + u)(3u + -4) = 0

Reorder the terms:
(7 + u)(-4 + 3u) = 0

Multiply (7 + u) * (-4 + 3u)
(7(-4 + 3u) + u(-4 + 3u)) = 0
((-4 * 7 + 3u * 7) + u(-4 + 3u)) = 0
((-28 + 21u) + u(-4 + 3u)) = 0
(-28 + 21u + (-4 * u + 3u * u)) = 0
(-28 + 21u + (-4u + 3u2)) = 0

Combine like terms: 21u + -4u = 17u
(-28 + 17u + 3u2) = 0

Solving
-28 + 17u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(4 + -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 '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333

Solution

u = {-7, 1.333333333}

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