(5v-8)(7-v)=0

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Solution for (5v-8)(7-v)=0 equation:


Simplifying
(5v + -8)(7 + -1v) = 0

Reorder the terms:
(-8 + 5v)(7 + -1v) = 0

Multiply (-8 + 5v) * (7 + -1v)
(-8(7 + -1v) + 5v * (7 + -1v)) = 0
((7 * -8 + -1v * -8) + 5v * (7 + -1v)) = 0
((-56 + 8v) + 5v * (7 + -1v)) = 0
(-56 + 8v + (7 * 5v + -1v * 5v)) = 0
(-56 + 8v + (35v + -5v2)) = 0

Combine like terms: 8v + 35v = 43v
(-56 + 43v + -5v2) = 0

Solving
-56 + 43v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + v)(8 + -5v) = 0

Subproblem 1

Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7

Subproblem 2

Set the factor '(8 + -5v)' equal to zero and attempt to solve: Simplifying 8 + -5v = 0 Solving 8 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5v = 0 + -8 -5v = 0 + -8 Combine like terms: 0 + -8 = -8 -5v = -8 Divide each side by '-5'. v = 1.6 Simplifying v = 1.6

Solution

v = {7, 1.6}

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