(4x+9)(5x+4)=

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Solution for (4x+9)(5x+4)= equation: 


Simplifying
(4x + 9)(5x + 4) = 0

Reorder the terms:
(9 + 4x)(5x + 4) = 0

Reorder the terms:
(9 + 4x)(4 + 5x) = 0

Multiply (9 + 4x) * (4 + 5x)
(9(4 + 5x) + 4x * (4 + 5x)) = 0
((4 * 9 + 5x * 9) + 4x * (4 + 5x)) = 0
((36 + 45x) + 4x * (4 + 5x)) = 0
(36 + 45x + (4 * 4x + 5x * 4x)) = 0
(36 + 45x + (16x + 20x2)) = 0

Combine like terms: 45x + 16x = 61x
(36 + 61x + 20x2) = 0

Solving
36 + 61x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 4x)(4 + 5x) = 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 '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-2.25, -0.8}

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