(5x+8)(-3x-2)=

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Solution for (5x+8)(-3x-2)= equation: 


Simplifying
(5x + 8)(-3x + -2) = 0

Reorder the terms:
(8 + 5x)(-3x + -2) = 0

Reorder the terms:
(8 + 5x)(-2 + -3x) = 0

Multiply (8 + 5x) * (-2 + -3x)
(8(-2 + -3x) + 5x * (-2 + -3x)) = 0
((-2 * 8 + -3x * 8) + 5x * (-2 + -3x)) = 0
((-16 + -24x) + 5x * (-2 + -3x)) = 0
(-16 + -24x + (-2 * 5x + -3x * 5x)) = 0
(-16 + -24x + (-10x + -15x2)) = 0

Combine like terms: -24x + -10x = -34x
(-16 + -34x + -15x2) = 0

Solving
-16 + -34x + -15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 34x + 15x2) = 0

Factor a trinomial.
-1((8 + 5x)(2 + 3x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6

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

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667
Solution
x = {-1.6, -0.6666666667}

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