(v-5)(5v-7)=

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


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

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

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

Multiply (-5 + v) * (-7 + 5v)
(-5(-7 + 5v) + v(-7 + 5v)) = 0
((-7 * -5 + 5v * -5) + v(-7 + 5v)) = 0
((35 + -25v) + v(-7 + 5v)) = 0
(35 + -25v + (-7 * v + 5v * v)) = 0
(35 + -25v + (-7v + 5v2)) = 0

Combine like terms: -25v + -7v = -32v
(35 + -32v + 5v2) = 0

Solving
35 + -32v + 5v2 = 0

Solving for variable 'v'.

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

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5

Solution

v = {1.4, 5}

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