(5v+3)(9v-1)=0

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Solution for (5v+3)(9v-1)=0 equation:


Simplifying
(5v + 3)(9v + -1) = 0

Reorder the terms:
(3 + 5v)(9v + -1) = 0

Reorder the terms:
(3 + 5v)(-1 + 9v) = 0

Multiply (3 + 5v) * (-1 + 9v)
(3(-1 + 9v) + 5v * (-1 + 9v)) = 0
((-1 * 3 + 9v * 3) + 5v * (-1 + 9v)) = 0
((-3 + 27v) + 5v * (-1 + 9v)) = 0
(-3 + 27v + (-1 * 5v + 9v * 5v)) = 0
(-3 + 27v + (-5v + 45v2)) = 0

Combine like terms: 27v + -5v = 22v
(-3 + 22v + 45v2) = 0

Solving
-3 + 22v + 45v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -5v)(1 + -9v) = 0

Subproblem 1

Set the factor '(-3 + -5v)' equal to zero and attempt to solve: Simplifying -3 + -5v = 0 Solving -3 + -5v = 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 + -5v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5v = 0 + 3 -5v = 0 + 3 Combine like terms: 0 + 3 = 3 -5v = 3 Divide each side by '-5'. v = -0.6 Simplifying v = -0.6

Subproblem 2

Set the factor '(1 + -9v)' equal to zero and attempt to solve: Simplifying 1 + -9v = 0 Solving 1 + -9v = 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 + -9v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9v = 0 + -1 -9v = 0 + -1 Combine like terms: 0 + -1 = -1 -9v = -1 Divide each side by '-9'. v = 0.1111111111 Simplifying v = 0.1111111111

Solution

v = {-0.6, 0.1111111111}

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