(6x-17)(4x+5)=

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Solution for (6x-17)(4x+5)= equation: 


Simplifying
(6x + -17)(4x + 5) = 0

Reorder the terms:
(-17 + 6x)(4x + 5) = 0

Reorder the terms:
(-17 + 6x)(5 + 4x) = 0

Multiply (-17 + 6x) * (5 + 4x)
(-17(5 + 4x) + 6x * (5 + 4x)) = 0
((5 * -17 + 4x * -17) + 6x * (5 + 4x)) = 0
((-85 + -68x) + 6x * (5 + 4x)) = 0
(-85 + -68x + (5 * 6x + 4x * 6x)) = 0
(-85 + -68x + (30x + 24x2)) = 0

Combine like terms: -68x + 30x = -38x
(-85 + -38x + 24x2) = 0

Solving
-85 + -38x + 24x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -4x)(17 + -6x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(17 + -6x)' equal to zero and attempt to solve:

Simplifying
17 + -6x = 0

Solving
17 + -6x = 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 + -6x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 0 + -17
-6x = 0 + -17

Combine like terms: 0 + -17 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333
Solution
x = {-1.25, 2.833333333}

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