(9x-20)(8x+17)=0

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Solution for (9x-20)(8x+17)=0 equation: 


Simplifying
(9x + -20)(8x + 17) = 0

Reorder the terms:
(-20 + 9x)(8x + 17) = 0

Reorder the terms:
(-20 + 9x)(17 + 8x) = 0

Multiply (-20 + 9x) * (17 + 8x)
(-20(17 + 8x) + 9x * (17 + 8x)) = 0
((17 * -20 + 8x * -20) + 9x * (17 + 8x)) = 0
((-340 + -160x) + 9x * (17 + 8x)) = 0
(-340 + -160x + (17 * 9x + 8x * 9x)) = 0
(-340 + -160x + (153x + 72x2)) = 0

Combine like terms: -160x + 153x = -7x
(-340 + -7x + 72x2) = 0

Solving
-340 + -7x + 72x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -8x)(20 + -9x) = 0


Subproblem 1
Set the factor '(-17 + -8x)' equal to zero and attempt to solve:

Simplifying
-17 + -8x = 0

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

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

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

Divide each side by '-8'.
x = -2.125

Simplifying
x = -2.125

Subproblem 2
Set the factor '(20 + -9x)' equal to zero and attempt to solve:

Simplifying
20 + -9x = 0

Solving
20 + -9x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -9x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = 0 + -20
-9x = 0 + -20

Combine like terms: 0 + -20 = -20
-9x = -20

Divide each side by '-9'.
x = 2.222222222

Simplifying
x = 2.222222222
Solution
x = {-2.125, 2.222222222}

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