(8v-2)(2v+1)=9v^2-26v-29

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Solution for (8v-2)(2v+1)=9v^2-26v-29 equation: 


Simplifying
(8v + -2)(2v + 1) = 9v2 + -26v + -29

Reorder the terms:
(-2 + 8v)(2v + 1) = 9v2 + -26v + -29

Reorder the terms:
(-2 + 8v)(1 + 2v) = 9v2 + -26v + -29

Multiply (-2 + 8v) * (1 + 2v)
(-2(1 + 2v) + 8v * (1 + 2v)) = 9v2 + -26v + -29
((1 * -2 + 2v * -2) + 8v * (1 + 2v)) = 9v2 + -26v + -29
((-2 + -4v) + 8v * (1 + 2v)) = 9v2 + -26v + -29
(-2 + -4v + (1 * 8v + 2v * 8v)) = 9v2 + -26v + -29
(-2 + -4v + (8v + 16v2)) = 9v2 + -26v + -29

Combine like terms: -4v + 8v = 4v
(-2 + 4v + 16v2) = 9v2 + -26v + -29

Reorder the terms:
-2 + 4v + 16v2 = -29 + -26v + 9v2

Solving
-2 + 4v + 16v2 = -29 + -26v + 9v2

Solving for variable 'v'.

Reorder the terms:
-2 + 29 + 4v + 26v + 16v2 + -9v2 = -29 + -26v + 9v2 + 29 + 26v + -9v2

Combine like terms: -2 + 29 = 27
27 + 4v + 26v + 16v2 + -9v2 = -29 + -26v + 9v2 + 29 + 26v + -9v2

Combine like terms: 4v + 26v = 30v
27 + 30v + 16v2 + -9v2 = -29 + -26v + 9v2 + 29 + 26v + -9v2

Combine like terms: 16v2 + -9v2 = 7v2
27 + 30v + 7v2 = -29 + -26v + 9v2 + 29 + 26v + -9v2

Reorder the terms:
27 + 30v + 7v2 = -29 + 29 + -26v + 26v + 9v2 + -9v2

Combine like terms: -29 + 29 = 0
27 + 30v + 7v2 = 0 + -26v + 26v + 9v2 + -9v2
27 + 30v + 7v2 = -26v + 26v + 9v2 + -9v2

Combine like terms: -26v + 26v = 0
27 + 30v + 7v2 = 0 + 9v2 + -9v2
27 + 30v + 7v2 = 9v2 + -9v2

Combine like terms: 9v2 + -9v2 = 0
27 + 30v + 7v2 = 0

Factor a trinomial.
(3 + v)(9 + 7v) = 0


Subproblem 1
Set the factor '(3 + v)' equal to zero and attempt to solve:

Simplifying
3 + v = 0

Solving
3 + v = 0

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

Add '-3' to each side of the equation.
3 + -3 + v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + v = 0 + -3
v = 0 + -3

Combine like terms: 0 + -3 = -3
v = -3

Simplifying
v = -3

Subproblem 2
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
Solution
v = {-3, -1.285714286}

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