(2x+1)(4x+9)=

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Solution for (2x+1)(4x+9)= equation: 


Simplifying
(2x + 1)(4x + 9) = 0

Reorder the terms:
(1 + 2x)(4x + 9) = 0

Reorder the terms:
(1 + 2x)(9 + 4x) = 0

Multiply (1 + 2x) * (9 + 4x)
(1(9 + 4x) + 2x * (9 + 4x)) = 0
((9 * 1 + 4x * 1) + 2x * (9 + 4x)) = 0
((9 + 4x) + 2x * (9 + 4x)) = 0
(9 + 4x + (9 * 2x + 4x * 2x)) = 0
(9 + 4x + (18x + 8x2)) = 0

Combine like terms: 4x + 18x = 22x
(9 + 22x + 8x2) = 0

Solving
9 + 22x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 4x)(1 + 2x) = 0


Subproblem 1
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 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 + 4x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = 0 + -9
4x = 0 + -9

Combine like terms: 0 + -9 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-2.25, -0.5}

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