(5v+8)(7v-6)=

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Solution for (5v+8)(7v-6)= equation: 


Simplifying
(5v + 8)(7v + -6) = 0

Reorder the terms:
(8 + 5v)(7v + -6) = 0

Reorder the terms:
(8 + 5v)(-6 + 7v) = 0

Multiply (8 + 5v) * (-6 + 7v)
(8(-6 + 7v) + 5v * (-6 + 7v)) = 0
((-6 * 8 + 7v * 8) + 5v * (-6 + 7v)) = 0
((-48 + 56v) + 5v * (-6 + 7v)) = 0
(-48 + 56v + (-6 * 5v + 7v * 5v)) = 0
(-48 + 56v + (-30v + 35v2)) = 0

Combine like terms: 56v + -30v = 26v
(-48 + 26v + 35v2) = 0

Solving
-48 + 26v + 35v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -5v)(6 + -7v) = 0


Subproblem 1
Set the factor '(-8 + -5v)' equal to zero and attempt to solve:

Simplifying
-8 + -5v = 0

Solving
-8 + -5v = 0

Move all terms containing v to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -5v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5v = 0 + 8
-5v = 0 + 8

Combine like terms: 0 + 8 = 8
-5v = 8

Divide each side by '-5'.
v = -1.6

Simplifying
v = -1.6

Subproblem 2
Set the factor '(6 + -7v)' equal to zero and attempt to solve:

Simplifying
6 + -7v = 0

Solving
6 + -7v = 0

Move all terms containing v to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -7v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7v = 0 + -6
-7v = 0 + -6

Combine like terms: 0 + -6 = -6
-7v = -6

Divide each side by '-7'.
v = 0.8571428571

Simplifying
v = 0.8571428571
Solution
v = {-1.6, 0.8571428571}

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