165=(4x-38)(4x+14)

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Solution for 165=(4x-38)(4x+14) equation: 


Simplifying
165 = (4x + -38)(4x + 14)

Reorder the terms:
165 = (-38 + 4x)(4x + 14)

Reorder the terms:
165 = (-38 + 4x)(14 + 4x)

Multiply (-38 + 4x) * (14 + 4x)
165 = (-38(14 + 4x) + 4x * (14 + 4x))
165 = ((14 * -38 + 4x * -38) + 4x * (14 + 4x))
165 = ((-532 + -152x) + 4x * (14 + 4x))
165 = (-532 + -152x + (14 * 4x + 4x * 4x))
165 = (-532 + -152x + (56x + 16x2))

Combine like terms: -152x + 56x = -96x
165 = (-532 + -96x + 16x2)

Solving
165 = -532 + -96x + 16x2

Solving for variable 'x'.

Combine like terms: 165 + 532 = 697
697 + 96x + -16x2 = -532 + -96x + 16x2 + 532 + 96x + -16x2

Reorder the terms:
697 + 96x + -16x2 = -532 + 532 + -96x + 96x + 16x2 + -16x2

Combine like terms: -532 + 532 = 0
697 + 96x + -16x2 = 0 + -96x + 96x + 16x2 + -16x2
697 + 96x + -16x2 = -96x + 96x + 16x2 + -16x2

Combine like terms: -96x + 96x = 0
697 + 96x + -16x2 = 0 + 16x2 + -16x2
697 + 96x + -16x2 = 16x2 + -16x2

Combine like terms: 16x2 + -16x2 = 0
697 + 96x + -16x2 = 0

Factor a trinomial.
(41 + -4x)(17 + 4x) = 0


Subproblem 1
Set the factor '(41 + -4x)' equal to zero and attempt to solve:

Simplifying
41 + -4x = 0

Solving
41 + -4x = 0

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

Add '-41' to each side of the equation.
41 + -41 + -4x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + -4x = 0 + -41
-4x = 0 + -41

Combine like terms: 0 + -41 = -41
-4x = -41

Divide each side by '-4'.
x = 10.25

Simplifying
x = 10.25

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 = {10.25, -4.25}

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