(8x-34)(5x+2)=

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Solution for (8x-34)(5x+2)= equation: 


Simplifying
(8x + -34)(5x + 2) = 0

Reorder the terms:
(-34 + 8x)(5x + 2) = 0

Reorder the terms:
(-34 + 8x)(2 + 5x) = 0

Multiply (-34 + 8x) * (2 + 5x)
(-34(2 + 5x) + 8x * (2 + 5x)) = 0
((2 * -34 + 5x * -34) + 8x * (2 + 5x)) = 0
((-68 + -170x) + 8x * (2 + 5x)) = 0
(-68 + -170x + (2 * 8x + 5x * 8x)) = 0
(-68 + -170x + (16x + 40x2)) = 0

Combine like terms: -170x + 16x = -154x
(-68 + -154x + 40x2) = 0

Solving
-68 + -154x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-34 + -77x + 20x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

Subproblem 2
Set the factor '(17 + -4x)' equal to zero and attempt to solve:

Simplifying
17 + -4x = 0

Solving
17 + -4x = 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 + -4x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 0 + -17
-4x = 0 + -17

Combine like terms: 0 + -17 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25
Solution
x = {-0.4, 4.25}

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