(6v-1)(7v+3)=

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Solution for (6v-1)(7v+3)= equation:


Simplifying
(6v + -1)(7v + 3) = 0

Reorder the terms:
(-1 + 6v)(7v + 3) = 0

Reorder the terms:
(-1 + 6v)(3 + 7v) = 0

Multiply (-1 + 6v) * (3 + 7v)
(-1(3 + 7v) + 6v * (3 + 7v)) = 0
((3 * -1 + 7v * -1) + 6v * (3 + 7v)) = 0
((-3 + -7v) + 6v * (3 + 7v)) = 0
(-3 + -7v + (3 * 6v + 7v * 6v)) = 0
(-3 + -7v + (18v + 42v2)) = 0

Combine like terms: -7v + 18v = 11v
(-3 + 11v + 42v2) = 0

Solving
-3 + 11v + 42v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -7v)(1 + -6v) = 0

Subproblem 1

Set the factor '(-3 + -7v)' equal to zero and attempt to solve: Simplifying -3 + -7v = 0 Solving -3 + -7v = 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 + -7v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7v = 0 + 3 -7v = 0 + 3 Combine like terms: 0 + 3 = 3 -7v = 3 Divide each side by '-7'. v = -0.4285714286 Simplifying v = -0.4285714286

Subproblem 2

Set the factor '(1 + -6v)' equal to zero and attempt to solve: Simplifying 1 + -6v = 0 Solving 1 + -6v = 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 + -6v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = 0 + -1 -6v = 0 + -1 Combine like terms: 0 + -1 = -1 -6v = -1 Divide each side by '-6'. v = 0.1666666667 Simplifying v = 0.1666666667

Solution

v = {-0.4285714286, 0.1666666667}

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