(5u-2)(5+u)=0

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Solution for (5u-2)(5+u)=0 equation:


Simplifying
(5u + -2)(5 + u) = 0

Reorder the terms:
(-2 + 5u)(5 + u) = 0

Multiply (-2 + 5u) * (5 + u)
(-2(5 + u) + 5u * (5 + u)) = 0
((5 * -2 + u * -2) + 5u * (5 + u)) = 0
((-10 + -2u) + 5u * (5 + u)) = 0
(-10 + -2u + (5 * 5u + u * 5u)) = 0
(-10 + -2u + (25u + 5u2)) = 0

Combine like terms: -2u + 25u = 23u
(-10 + 23u + 5u2) = 0

Solving
-10 + 23u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + -1u)(2 + -5u) = 0

Subproblem 1

Set the factor '(-5 + -1u)' equal to zero and attempt to solve: Simplifying -5 + -1u = 0 Solving -5 + -1u = 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 + -1u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1u = 0 + 5 -1u = 0 + 5 Combine like terms: 0 + 5 = 5 -1u = 5 Divide each side by '-1'. u = -5 Simplifying u = -5

Subproblem 2

Set the factor '(2 + -5u)' equal to zero and attempt to solve: Simplifying 2 + -5u = 0 Solving 2 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5u = 0 + -2 -5u = 0 + -2 Combine like terms: 0 + -2 = -2 -5u = -2 Divide each side by '-5'. u = 0.4 Simplifying u = 0.4

Solution

u = {-5, 0.4}

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