(2v-7)(1-v)=0

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Solution for (2v-7)(1-v)=0 equation:


Simplifying
(2v + -7)(1 + -1v) = 0

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

Multiply (-7 + 2v) * (1 + -1v)
(-7(1 + -1v) + 2v * (1 + -1v)) = 0
((1 * -7 + -1v * -7) + 2v * (1 + -1v)) = 0
((-7 + 7v) + 2v * (1 + -1v)) = 0
(-7 + 7v + (1 * 2v + -1v * 2v)) = 0
(-7 + 7v + (2v + -2v2)) = 0

Combine like terms: 7v + 2v = 9v
(-7 + 9v + -2v2) = 0

Solving
-7 + 9v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + 2v)(1 + -1v) = 0

Subproblem 1

Set the factor '(-7 + 2v)' equal to zero and attempt to solve: Simplifying -7 + 2v = 0 Solving -7 + 2v = 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 + 2v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2v = 0 + 7 2v = 0 + 7 Combine like terms: 0 + 7 = 7 2v = 7 Divide each side by '2'. v = 3.5 Simplifying v = 3.5

Subproblem 2

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

Solution

v = {3.5, 1}

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