(-3x-8)(-8x-5)=0

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Solution for (-3x-8)(-8x-5)=0 equation: 


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

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

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

Multiply (-8 + -3x) * (-5 + -8x)
(-8(-5 + -8x) + -3x * (-5 + -8x)) = 0
((-5 * -8 + -8x * -8) + -3x * (-5 + -8x)) = 0
((40 + 64x) + -3x * (-5 + -8x)) = 0
(40 + 64x + (-5 * -3x + -8x * -3x)) = 0
(40 + 64x + (15x + 24x2)) = 0

Combine like terms: 64x + 15x = 79x
(40 + 79x + 24x2) = 0

Solving
40 + 79x + 24x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve:

Simplifying
5 + 8x = 0

Solving
5 + 8x = 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 + 8x = 0 + -5

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

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

Divide each side by '8'.
x = -0.625

Simplifying
x = -0.625
Solution
x = {-2.666666667, -0.625}

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