(u-1)(u+3)=0

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Solution for (u-1)(u+3)=0 equation:


Simplifying
(u + -1)(u + 3) = 0

Reorder the terms:
(-1 + u)(u + 3) = 0

Reorder the terms:
(-1 + u)(3 + u) = 0

Multiply (-1 + u) * (3 + u)
(-1(3 + u) + u(3 + u)) = 0
((3 * -1 + u * -1) + u(3 + u)) = 0
((-3 + -1u) + u(3 + u)) = 0
(-3 + -1u + (3 * u + u * u)) = 0
(-3 + -1u + (3u + u2)) = 0

Combine like terms: -1u + 3u = 2u
(-3 + 2u + u2) = 0

Solving
-3 + 2u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -1u)(1 + -1u) = 0

Subproblem 1

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

Subproblem 2

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

Solution

u = {-3, 1}

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