(3x+5)(6x+5)=0

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Solution for (3x+5)(6x+5)=0 equation: 


Simplifying
(3x + 5)(6x + 5) = 0

Reorder the terms:
(5 + 3x)(6x + 5) = 0

Reorder the terms:
(5 + 3x)(5 + 6x) = 0

Multiply (5 + 3x) * (5 + 6x)
(5(5 + 6x) + 3x * (5 + 6x)) = 0
((5 * 5 + 6x * 5) + 3x * (5 + 6x)) = 0
((25 + 30x) + 3x * (5 + 6x)) = 0
(25 + 30x + (5 * 3x + 6x * 3x)) = 0
(25 + 30x + (15x + 18x2)) = 0

Combine like terms: 30x + 15x = 45x
(25 + 45x + 18x2) = 0

Solving
25 + 45x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 3x)(5 + 6x) = 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 '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 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 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {-1.666666667, -0.8333333333}

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