(-u+25)(u-16)=0

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Solution for (-u+25)(u-16)=0 equation:


Simplifying
(-1u + 25)(u + -16) = 0

Reorder the terms:
(25 + -1u)(u + -16) = 0

Reorder the terms:
(25 + -1u)(-16 + u) = 0

Multiply (25 + -1u) * (-16 + u)
(25(-16 + u) + -1u * (-16 + u)) = 0
((-16 * 25 + u * 25) + -1u * (-16 + u)) = 0
((-400 + 25u) + -1u * (-16 + u)) = 0
(-400 + 25u + (-16 * -1u + u * -1u)) = 0
(-400 + 25u + (16u + -1u2)) = 0

Combine like terms: 25u + 16u = 41u
(-400 + 41u + -1u2) = 0

Solving
-400 + 41u + -1u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-25 + u)(16 + -1u) = 0

Subproblem 1

Set the factor '(-25 + u)' equal to zero and attempt to solve: Simplifying -25 + u = 0 Solving -25 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + u = 0 + 25 Combine like terms: -25 + 25 = 0 0 + u = 0 + 25 u = 0 + 25 Combine like terms: 0 + 25 = 25 u = 25 Simplifying u = 25

Subproblem 2

Set the factor '(16 + -1u)' equal to zero and attempt to solve: Simplifying 16 + -1u = 0 Solving 16 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1u = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1u = 0 + -16 -1u = 0 + -16 Combine like terms: 0 + -16 = -16 -1u = -16 Divide each side by '-1'. u = 16 Simplifying u = 16

Solution

u = {25, 16}

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