(6x+1)(x-1)=20

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Solution for (6x+1)(x-1)=20 equation: 


Simplifying
(6x + 1)(x + -1) = 20

Reorder the terms:
(1 + 6x)(x + -1) = 20

Reorder the terms:
(1 + 6x)(-1 + x) = 20

Multiply (1 + 6x) * (-1 + x)
(1(-1 + x) + 6x * (-1 + x)) = 20
((-1 * 1 + x * 1) + 6x * (-1 + x)) = 20
((-1 + 1x) + 6x * (-1 + x)) = 20
(-1 + 1x + (-1 * 6x + x * 6x)) = 20
(-1 + 1x + (-6x + 6x2)) = 20

Combine like terms: 1x + -6x = -5x
(-1 + -5x + 6x2) = 20

Solving
-1 + -5x + 6x2 = 20

Solving for variable 'x'.

Reorder the terms:
-1 + -20 + -5x + 6x2 = 20 + -20

Combine like terms: -1 + -20 = -21
-21 + -5x + 6x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-21 + -5x + 6x2 = 0

Factor a trinomial.
(-3 + -2x)(7 + -3x) = 0


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

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 0 + 3
-2x = 0 + 3

Combine like terms: 0 + 3 = 3
-2x = 3

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-1.5, 2.333333333}

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