(2x+9)(81x+5x+3)=

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Solution for (2x+9)(81x+5x+3)= equation: 


Simplifying
(2x + 9)(81x + 5x + 3) = 0

Reorder the terms:
(9 + 2x)(81x + 5x + 3) = 0

Reorder the terms:
(9 + 2x)(3 + 81x + 5x) = 0

Combine like terms: 81x + 5x = 86x
(9 + 2x)(3 + 86x) = 0

Multiply (9 + 2x) * (3 + 86x)
(9(3 + 86x) + 2x * (3 + 86x)) = 0
((3 * 9 + 86x * 9) + 2x * (3 + 86x)) = 0
((27 + 774x) + 2x * (3 + 86x)) = 0
(27 + 774x + (3 * 2x + 86x * 2x)) = 0
(27 + 774x + (6x + 172x2)) = 0

Combine like terms: 774x + 6x = 780x
(27 + 780x + 172x2) = 0

Solving
27 + 780x + 172x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 2x)(3 + 86x) = 0


Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

Subproblem 2
Set the factor '(3 + 86x)' equal to zero and attempt to solve:

Simplifying
3 + 86x = 0

Solving
3 + 86x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 86x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 86x = 0 + -3
86x = 0 + -3

Combine like terms: 0 + -3 = -3
86x = -3

Divide each side by '86'.
x = -0.03488372093

Simplifying
x = -0.03488372093
Solution
x = {-4.5, -0.03488372093}

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