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

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Solution for (6+v)(5v-7)=0 equation:


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

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

Multiply (6 + v) * (-7 + 5v)
(6(-7 + 5v) + v(-7 + 5v)) = 0
((-7 * 6 + 5v * 6) + v(-7 + 5v)) = 0
((-42 + 30v) + v(-7 + 5v)) = 0
(-42 + 30v + (-7 * v + 5v * v)) = 0
(-42 + 30v + (-7v + 5v2)) = 0

Combine like terms: 30v + -7v = 23v
(-42 + 23v + 5v2) = 0

Solving
-42 + 23v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + -1v)(7 + -5v) = 0

Subproblem 1

Set the factor '(-6 + -1v)' equal to zero and attempt to solve: Simplifying -6 + -1v = 0 Solving -6 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1v = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1v = 0 + 6 -1v = 0 + 6 Combine like terms: 0 + 6 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6

Subproblem 2

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

Solution

v = {-6, 1.4}

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