(5u-4)(7+u)=0

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Solution for (5u-4)(7+u)=0 equation:


Simplifying
(5u + -4)(7 + u) = 0

Reorder the terms:
(-4 + 5u)(7 + u) = 0

Multiply (-4 + 5u) * (7 + u)
(-4(7 + u) + 5u * (7 + u)) = 0
((7 * -4 + u * -4) + 5u * (7 + u)) = 0
((-28 + -4u) + 5u * (7 + u)) = 0
(-28 + -4u + (7 * 5u + u * 5u)) = 0
(-28 + -4u + (35u + 5u2)) = 0

Combine like terms: -4u + 35u = 31u
(-28 + 31u + 5u2) = 0

Solving
-28 + 31u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(4 + -5u) = 0

Subproblem 1

Set the factor '(-7 + -1u)' equal to zero and attempt to solve: Simplifying -7 + -1u = 0 Solving -7 + -1u = 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 + -1u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1u = 0 + 7 -1u = 0 + 7 Combine like terms: 0 + 7 = 7 -1u = 7 Divide each side by '-1'. u = -7 Simplifying u = -7

Subproblem 2

Set the factor '(4 + -5u)' equal to zero and attempt to solve: Simplifying 4 + -5u = 0 Solving 4 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5u = 0 + -4 -5u = 0 + -4 Combine like terms: 0 + -4 = -4 -5u = -4 Divide each side by '-5'. u = 0.8 Simplifying u = 0.8

Solution

u = {-7, 0.8}

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