(8x-14)(5x+34)=

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Solution for (8x-14)(5x+34)= equation: 


Simplifying
(8x + -14)(5x + 34) = 0

Reorder the terms:
(-14 + 8x)(5x + 34) = 0

Reorder the terms:
(-14 + 8x)(34 + 5x) = 0

Multiply (-14 + 8x) * (34 + 5x)
(-14(34 + 5x) + 8x * (34 + 5x)) = 0
((34 * -14 + 5x * -14) + 8x * (34 + 5x)) = 0
((-476 + -70x) + 8x * (34 + 5x)) = 0
(-476 + -70x + (34 * 8x + 5x * 8x)) = 0
(-476 + -70x + (272x + 40x2)) = 0

Combine like terms: -70x + 272x = 202x
(-476 + 202x + 40x2) = 0

Solving
-476 + 202x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-238 + 101x + 20x2) = 0

Factor a trinomial.
2((-34 + -5x)(7 + -4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-34 + -5x)' equal to zero and attempt to solve:

Simplifying
-34 + -5x = 0

Solving
-34 + -5x = 0

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

Add '34' to each side of the equation.
-34 + 34 + -5x = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -5x = 0 + 34
-5x = 0 + 34

Combine like terms: 0 + 34 = 34
-5x = 34

Divide each side by '-5'.
x = -6.8

Simplifying
x = -6.8

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-6.8, 1.75}

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