(10v+7)(3v-5)=0

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Solution for (10v+7)(3v-5)=0 equation:


Simplifying
(10v + 7)(3v + -5) = 0

Reorder the terms:
(7 + 10v)(3v + -5) = 0

Reorder the terms:
(7 + 10v)(-5 + 3v) = 0

Multiply (7 + 10v) * (-5 + 3v)
(7(-5 + 3v) + 10v * (-5 + 3v)) = 0
((-5 * 7 + 3v * 7) + 10v * (-5 + 3v)) = 0
((-35 + 21v) + 10v * (-5 + 3v)) = 0
(-35 + 21v + (-5 * 10v + 3v * 10v)) = 0
(-35 + 21v + (-50v + 30v2)) = 0

Combine like terms: 21v + -50v = -29v
(-35 + -29v + 30v2) = 0

Solving
-35 + -29v + 30v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -10v)(5 + -3v) = 0

Subproblem 1

Set the factor '(-7 + -10v)' equal to zero and attempt to solve: Simplifying -7 + -10v = 0 Solving -7 + -10v = 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 + -10v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -10v = 0 + 7 -10v = 0 + 7 Combine like terms: 0 + 7 = 7 -10v = 7 Divide each side by '-10'. v = -0.7 Simplifying v = -0.7

Subproblem 2

Set the factor '(5 + -3v)' equal to zero and attempt to solve: Simplifying 5 + -3v = 0 Solving 5 + -3v = 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 + -3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3v = 0 + -5 -3v = 0 + -5 Combine like terms: 0 + -5 = -5 -3v = -5 Divide each side by '-3'. v = 1.666666667 Simplifying v = 1.666666667

Solution

v = {-0.7, 1.666666667}

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