(2-u)(5u-7)=0

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Solution for (2-u)(5u-7)=0 equation:


Simplifying
(2 + -1u)(5u + -7) = 0

Reorder the terms:
(2 + -1u)(-7 + 5u) = 0

Multiply (2 + -1u) * (-7 + 5u)
(2(-7 + 5u) + -1u * (-7 + 5u)) = 0
((-7 * 2 + 5u * 2) + -1u * (-7 + 5u)) = 0
((-14 + 10u) + -1u * (-7 + 5u)) = 0
(-14 + 10u + (-7 * -1u + 5u * -1u)) = 0
(-14 + 10u + (7u + -5u2)) = 0

Combine like terms: 10u + 7u = 17u
(-14 + 17u + -5u2) = 0

Solving
-14 + 17u + -5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + u)(7 + -5u) = 0

Subproblem 1

Set the factor '(-2 + u)' equal to zero and attempt to solve: Simplifying -2 + u = 0 Solving -2 + u = 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 + u = 0 + 2 Combine like terms: -2 + 2 = 0 0 + u = 0 + 2 u = 0 + 2 Combine like terms: 0 + 2 = 2 u = 2 Simplifying u = 2

Subproblem 2

Set the factor '(7 + -5u)' equal to zero and attempt to solve: Simplifying 7 + -5u = 0 Solving 7 + -5u = 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 + -5u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5u = 0 + -7 -5u = 0 + -7 Combine like terms: 0 + -7 = -7 -5u = -7 Divide each side by '-5'. u = 1.4 Simplifying u = 1.4

Solution

u = {2, 1.4}

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