(3x+8)(5x-1)=6

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Solution for (3x+8)(5x-1)=6 equation: 


Simplifying
(3x + 8)(5x + -1) = 6

Reorder the terms:
(8 + 3x)(5x + -1) = 6

Reorder the terms:
(8 + 3x)(-1 + 5x) = 6

Multiply (8 + 3x) * (-1 + 5x)
(8(-1 + 5x) + 3x * (-1 + 5x)) = 6
((-1 * 8 + 5x * 8) + 3x * (-1 + 5x)) = 6
((-8 + 40x) + 3x * (-1 + 5x)) = 6
(-8 + 40x + (-1 * 3x + 5x * 3x)) = 6
(-8 + 40x + (-3x + 15x2)) = 6

Combine like terms: 40x + -3x = 37x
(-8 + 37x + 15x2) = 6

Solving
-8 + 37x + 15x2 = 6

Solving for variable 'x'.

Reorder the terms:
-8 + -6 + 37x + 15x2 = 6 + -6

Combine like terms: -8 + -6 = -14
-14 + 37x + 15x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-14 + 37x + 15x2 = 0

Factor a trinomial.
(-14 + -5x)(1 + -3x) = 0


Subproblem 1
Set the factor '(-14 + -5x)' equal to zero and attempt to solve:

Simplifying
-14 + -5x = 0

Solving
-14 + -5x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 0 + 14
-5x = 0 + 14

Combine like terms: 0 + 14 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-2.8, 0.3333333333}

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