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

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


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

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

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

Multiply (9 + 4x) * (4 + 2x)
(9(4 + 2x) + 4x * (4 + 2x)) = 0
((4 * 9 + 2x * 9) + 4x * (4 + 2x)) = 0
((36 + 18x) + 4x * (4 + 2x)) = 0
(36 + 18x + (4 * 4x + 2x * 4x)) = 0
(36 + 18x + (16x + 8x2)) = 0

Combine like terms: 18x + 16x = 34x
(36 + 34x + 8x2) = 0

Solving
36 + 34x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(18 + 17x + 4x2) = 0

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

Ignore the factor 2.

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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-2.25, -2}

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