(-8x-3)(-9x-4x-17)=0

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Solution for (-8x-3)(-9x-4x-17)=0 equation: 


Simplifying
(-8x + -3)(-9x + -4x + -17) = 0

Reorder the terms:
(-3 + -8x)(-9x + -4x + -17) = 0

Reorder the terms:
(-3 + -8x)(-17 + -9x + -4x) = 0

Combine like terms: -9x + -4x = -13x
(-3 + -8x)(-17 + -13x) = 0

Multiply (-3 + -8x) * (-17 + -13x)
(-3(-17 + -13x) + -8x * (-17 + -13x)) = 0
((-17 * -3 + -13x * -3) + -8x * (-17 + -13x)) = 0
((51 + 39x) + -8x * (-17 + -13x)) = 0
(51 + 39x + (-17 * -8x + -13x * -8x)) = 0
(51 + 39x + (136x + 104x2)) = 0

Combine like terms: 39x + 136x = 175x
(51 + 175x + 104x2) = 0

Solving
51 + 175x + 104x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(17 + 13x)(3 + 8x) = 0


Subproblem 1
Set the factor '(17 + 13x)' equal to zero and attempt to solve:

Simplifying
17 + 13x = 0

Solving
17 + 13x = 0

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

Add '-17' to each side of the equation.
17 + -17 + 13x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 13x = 0 + -17
13x = 0 + -17

Combine like terms: 0 + -17 = -17
13x = -17

Divide each side by '13'.
x = -1.307692308

Simplifying
x = -1.307692308

Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve:

Simplifying
3 + 8x = 0

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

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

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

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375
Solution
x = {-1.307692308, -0.375}

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