(4x-5)(2x+17)=

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Solution for (4x-5)(2x+17)= equation: 


Simplifying
(4x + -5)(2x + 17) = 0

Reorder the terms:
(-5 + 4x)(2x + 17) = 0

Reorder the terms:
(-5 + 4x)(17 + 2x) = 0

Multiply (-5 + 4x) * (17 + 2x)
(-5(17 + 2x) + 4x * (17 + 2x)) = 0
((17 * -5 + 2x * -5) + 4x * (17 + 2x)) = 0
((-85 + -10x) + 4x * (17 + 2x)) = 0
(-85 + -10x + (17 * 4x + 2x * 4x)) = 0
(-85 + -10x + (68x + 8x2)) = 0

Combine like terms: -10x + 68x = 58x
(-85 + 58x + 8x2) = 0

Solving
-85 + 58x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -2x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-17 + -2x)' equal to zero and attempt to solve:

Simplifying
-17 + -2x = 0

Solving
-17 + -2x = 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 + -2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -2x = 0 + 17
-2x = 0 + 17

Combine like terms: 0 + 17 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-8.5, 1.25}

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