(13v+9)(4v-5)=0

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Solution for (13v+9)(4v-5)=0 equation:


Simplifying
(13v + 9)(4v + -5) = 0

Reorder the terms:
(9 + 13v)(4v + -5) = 0

Reorder the terms:
(9 + 13v)(-5 + 4v) = 0

Multiply (9 + 13v) * (-5 + 4v)
(9(-5 + 4v) + 13v * (-5 + 4v)) = 0
((-5 * 9 + 4v * 9) + 13v * (-5 + 4v)) = 0
((-45 + 36v) + 13v * (-5 + 4v)) = 0
(-45 + 36v + (-5 * 13v + 4v * 13v)) = 0
(-45 + 36v + (-65v + 52v2)) = 0

Combine like terms: 36v + -65v = -29v
(-45 + -29v + 52v2) = 0

Solving
-45 + -29v + 52v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -13v)(5 + -4v) = 0

Subproblem 1

Set the factor '(-9 + -13v)' equal to zero and attempt to solve: Simplifying -9 + -13v = 0 Solving -9 + -13v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -13v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -13v = 0 + 9 -13v = 0 + 9 Combine like terms: 0 + 9 = 9 -13v = 9 Divide each side by '-13'. v = -0.6923076923 Simplifying v = -0.6923076923

Subproblem 2

Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Divide each side by '-4'. v = 1.25 Simplifying v = 1.25

Solution

v = {-0.6923076923, 1.25}

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