(5v-2)(6v-4)=

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Solution for (5v-2)(6v-4)= equation:


Simplifying
(5v + -2)(6v + -4) = 0

Reorder the terms:
(-2 + 5v)(6v + -4) = 0

Reorder the terms:
(-2 + 5v)(-4 + 6v) = 0

Multiply (-2 + 5v) * (-4 + 6v)
(-2(-4 + 6v) + 5v * (-4 + 6v)) = 0
((-4 * -2 + 6v * -2) + 5v * (-4 + 6v)) = 0
((8 + -12v) + 5v * (-4 + 6v)) = 0
(8 + -12v + (-4 * 5v + 6v * 5v)) = 0
(8 + -12v + (-20v + 30v2)) = 0

Combine like terms: -12v + -20v = -32v
(8 + -32v + 30v2) = 0

Solving
8 + -32v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16v + 15v2) = 0

Factor a trinomial.
2((2 + -5v)(2 + -3v)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -5v)' equal to zero and attempt to solve: Simplifying 2 + -5v = 0 Solving 2 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = 0 + -2 -5v = 0 + -2 Combine like terms: 0 + -2 = -2 -5v = -2 Divide each side by '-5'. v = 0.4 Simplifying v = 0.4

Subproblem 2

Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667

Solution

v = {0.4, 0.6666666667}

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