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

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


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

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

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

Multiply (4 + 9x) * (5 + 3x)
(4(5 + 3x) + 9x * (5 + 3x)) = 0
((5 * 4 + 3x * 4) + 9x * (5 + 3x)) = 0
((20 + 12x) + 9x * (5 + 3x)) = 0
(20 + 12x + (5 * 9x + 3x * 9x)) = 0
(20 + 12x + (45x + 27x2)) = 0

Combine like terms: 12x + 45x = 57x
(20 + 57x + 27x2) = 0

Solving
20 + 57x + 27x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 2
Set the factor '(4 + 9x)' equal to zero and attempt to solve:

Simplifying
4 + 9x = 0

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

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

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

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444
Solution
x = {-1.666666667, -0.4444444444}

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