(-9x-10)(17x+8)=0

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Solution for (-9x-10)(17x+8)=0 equation: 


Simplifying
(-9x + -10)(17x + 8) = 0

Reorder the terms:
(-10 + -9x)(17x + 8) = 0

Reorder the terms:
(-10 + -9x)(8 + 17x) = 0

Multiply (-10 + -9x) * (8 + 17x)
(-10(8 + 17x) + -9x * (8 + 17x)) = 0
((8 * -10 + 17x * -10) + -9x * (8 + 17x)) = 0
((-80 + -170x) + -9x * (8 + 17x)) = 0
(-80 + -170x + (8 * -9x + 17x * -9x)) = 0
(-80 + -170x + (-72x + -153x2)) = 0

Combine like terms: -170x + -72x = -242x
(-80 + -242x + -153x2) = 0

Solving
-80 + -242x + -153x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(80 + 242x + 153x2) = 0

Factor a trinomial.
-1((10 + 9x)(8 + 17x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10 + 9x)' equal to zero and attempt to solve:

Simplifying
10 + 9x = 0

Solving
10 + 9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + 9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 0 + -10
9x = 0 + -10

Combine like terms: 0 + -10 = -10
9x = -10

Divide each side by '9'.
x = -1.111111111

Simplifying
x = -1.111111111

Subproblem 2
Set the factor '(8 + 17x)' equal to zero and attempt to solve:

Simplifying
8 + 17x = 0

Solving
8 + 17x = 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 + 17x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 17x = 0 + -8
17x = 0 + -8

Combine like terms: 0 + -8 = -8
17x = -8

Divide each side by '17'.
x = -0.4705882353

Simplifying
x = -0.4705882353
Solution
x = {-1.111111111, -0.4705882353}

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