(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.
(-7 + -3x)(3 + -2x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-2.333333333, 1.5}

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