(3v-7)(2v-6)=

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Solution for (3v-7)(2v-6)= equation:


Simplifying
(3v + -7)(2v + -6) = 0

Reorder the terms:
(-7 + 3v)(2v + -6) = 0

Reorder the terms:
(-7 + 3v)(-6 + 2v) = 0

Multiply (-7 + 3v) * (-6 + 2v)
(-7(-6 + 2v) + 3v * (-6 + 2v)) = 0
((-6 * -7 + 2v * -7) + 3v * (-6 + 2v)) = 0
((42 + -14v) + 3v * (-6 + 2v)) = 0
(42 + -14v + (-6 * 3v + 2v * 3v)) = 0
(42 + -14v + (-18v + 6v2)) = 0

Combine like terms: -14v + -18v = -32v
(42 + -32v + 6v2) = 0

Solving
42 + -32v + 6v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(21 + -16v + 3v2) = 0

Factor a trinomial.
2((7 + -3v)(3 + -1v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(7 + -3v)' equal to zero and attempt to solve: Simplifying 7 + -3v = 0 Solving 7 + -3v = 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 + -3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 0 + -7 -3v = 0 + -7 Combine like terms: 0 + -7 = -7 -3v = -7 Divide each side by '-3'. v = 2.333333333 Simplifying v = 2.333333333

Subproblem 2

Set the factor '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3

Solution

v = {2.333333333, 3}

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