(7v-9)(v-8)=0

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Solution for (7v-9)(v-8)=0 equation: 


Simplifying
(7v + -9)(v + -8) = 0

Reorder the terms:
(-9 + 7v)(v + -8) = 0

Reorder the terms:
(-9 + 7v)(-8 + v) = 0

Multiply (-9 + 7v) * (-8 + v)
(-9(-8 + v) + 7v * (-8 + v)) = 0
((-8 * -9 + v * -9) + 7v * (-8 + v)) = 0
((72 + -9v) + 7v * (-8 + v)) = 0
(72 + -9v + (-8 * 7v + v * 7v)) = 0
(72 + -9v + (-56v + 7v2)) = 0

Combine like terms: -9v + -56v = -65v
(72 + -65v + 7v2) = 0

Solving
72 + -65v + 7v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(9 + -7v)(8 + -1v) = 0


Subproblem 1
Set the factor '(9 + -7v)' equal to zero and attempt to solve:

Simplifying
9 + -7v = 0

Solving
9 + -7v = 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 + -7v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7v = 0 + -9
-7v = 0 + -9

Combine like terms: 0 + -9 = -9
-7v = -9

Divide each side by '-7'.
v = 1.285714286

Simplifying
v = 1.285714286

Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 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 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {1.285714286, 8}

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