(4x+3)(5x+9)=0

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Solution for (4x+3)(5x+9)=0 equation: 


Simplifying
(4x + 3)(5x + 9) = 0

Reorder the terms:
(3 + 4x)(5x + 9) = 0

Reorder the terms:
(3 + 4x)(9 + 5x) = 0

Multiply (3 + 4x) * (9 + 5x)
(3(9 + 5x) + 4x * (9 + 5x)) = 0
((9 * 3 + 5x * 3) + 4x * (9 + 5x)) = 0
((27 + 15x) + 4x * (9 + 5x)) = 0
(27 + 15x + (9 * 4x + 5x * 4x)) = 0
(27 + 15x + (36x + 20x2)) = 0

Combine like terms: 15x + 36x = 51x
(27 + 51x + 20x2) = 0

Solving
27 + 51x + 20x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 5x)(3 + 4x) = 0


Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 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 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 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 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Solution
x = {-1.8, -0.75}

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