(5v-1)(6v-3)=

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Solution for (5v-1)(6v-3)= equation:


Simplifying
(5v + -1)(6v + -3) = 0

Reorder the terms:
(-1 + 5v)(6v + -3) = 0

Reorder the terms:
(-1 + 5v)(-3 + 6v) = 0

Multiply (-1 + 5v) * (-3 + 6v)
(-1(-3 + 6v) + 5v * (-3 + 6v)) = 0
((-3 * -1 + 6v * -1) + 5v * (-3 + 6v)) = 0
((3 + -6v) + 5v * (-3 + 6v)) = 0
(3 + -6v + (-3 * 5v + 6v * 5v)) = 0
(3 + -6v + (-15v + 30v2)) = 0

Combine like terms: -6v + -15v = -21v
(3 + -21v + 30v2) = 0

Solving
3 + -21v + 30v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -7v + 10v2) = 0

Factor a trinomial.
3((1 + -5v)(1 + -2v)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2

Subproblem 2

Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 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 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5

Solution

v = {0.2, 0.5}

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