(4u-7)(6-u)=0

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Solution for (4u-7)(6-u)=0 equation:


Simplifying
(4u + -7)(6 + -1u) = 0

Reorder the terms:
(-7 + 4u)(6 + -1u) = 0

Multiply (-7 + 4u) * (6 + -1u)
(-7(6 + -1u) + 4u * (6 + -1u)) = 0
((6 * -7 + -1u * -7) + 4u * (6 + -1u)) = 0
((-42 + 7u) + 4u * (6 + -1u)) = 0
(-42 + 7u + (6 * 4u + -1u * 4u)) = 0
(-42 + 7u + (24u + -4u2)) = 0

Combine like terms: 7u + 24u = 31u
(-42 + 31u + -4u2) = 0

Solving
-42 + 31u + -4u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + u)(7 + -4u) = 0

Subproblem 1

Set the factor '(-6 + u)' equal to zero and attempt to solve: Simplifying -6 + u = 0 Solving -6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + u = 0 + 6 Combine like terms: -6 + 6 = 0 0 + u = 0 + 6 u = 0 + 6 Combine like terms: 0 + 6 = 6 u = 6 Simplifying u = 6

Subproblem 2

Set the factor '(7 + -4u)' equal to zero and attempt to solve: Simplifying 7 + -4u = 0 Solving 7 + -4u = 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 + -4u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4u = 0 + -7 -4u = 0 + -7 Combine like terms: 0 + -7 = -7 -4u = -7 Divide each side by '-4'. u = 1.75 Simplifying u = 1.75

Solution

u = {6, 1.75}

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