(5u-1)(7+u)=0

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Solution for (5u-1)(7+u)=0 equation:


Simplifying
(5u + -1)(7 + u) = 0

Reorder the terms:
(-1 + 5u)(7 + u) = 0

Multiply (-1 + 5u) * (7 + u)
(-1(7 + u) + 5u * (7 + u)) = 0
((7 * -1 + u * -1) + 5u * (7 + u)) = 0
((-7 + -1u) + 5u * (7 + u)) = 0
(-7 + -1u + (7 * 5u + u * 5u)) = 0
(-7 + -1u + (35u + 5u2)) = 0

Combine like terms: -1u + 35u = 34u
(-7 + 34u + 5u2) = 0

Solving
-7 + 34u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(1 + -5u) = 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 '(1 + -5u)' equal to zero and attempt to solve: Simplifying 1 + -5u = 0 Solving 1 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5u = 0 + -1 -5u = 0 + -1 Combine like terms: 0 + -1 = -1 -5u = -1 Divide each side by '-5'. u = 0.2 Simplifying u = 0.2

Solution

u = {-7, 0.2}

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