(6x+5)(-2x-3)=0

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Solution for (6x+5)(-2x-3)=0 equation: 


Simplifying
(6x + 5)(-2x + -3) = 0

Reorder the terms:
(5 + 6x)(-2x + -3) = 0

Reorder the terms:
(5 + 6x)(-3 + -2x) = 0

Multiply (5 + 6x) * (-3 + -2x)
(5(-3 + -2x) + 6x * (-3 + -2x)) = 0
((-3 * 5 + -2x * 5) + 6x * (-3 + -2x)) = 0
((-15 + -10x) + 6x * (-3 + -2x)) = 0
(-15 + -10x + (-3 * 6x + -2x * 6x)) = 0
(-15 + -10x + (-18x + -12x2)) = 0

Combine like terms: -10x + -18x = -28x
(-15 + -28x + -12x2) = 0

Solving
-15 + -28x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15 + 28x + 12x2) = 0

Factor a trinomial.
-1((3 + 2x)(5 + 6x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5

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 = {-1.5, -0.8333333333}

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