12x^2+20x+6=x+1

Solution for 12x^2+20x+6=x+1 equation:

Simplifying
12x2 + 20x + 6 = x + 1

Reorder the terms:
6 + 20x + 12x2 = x + 1

Reorder the terms:
6 + 20x + 12x2 = 1 + x

Solving
6 + 20x + 12x2 = 1 + x

Solving for variable 'x'.

Reorder the terms:
6 + -1 + 20x + -1x + 12x2 = 1 + x + -1 + -1x

Combine like terms: 6 + -1 = 5
5 + 20x + -1x + 12x2 = 1 + x + -1 + -1x

Combine like terms: 20x + -1x = 19x
5 + 19x + 12x2 = 1 + x + -1 + -1x

Reorder the terms:
5 + 19x + 12x2 = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
5 + 19x + 12x2 = 0 + x + -1x
5 + 19x + 12x2 = x + -1x

Combine like terms: x + -1x = 0
5 + 19x + 12x2 = 0

Factor a trinomial.
(5 + 4x)(1 + 3x) = 0

Subproblem 1
Set the factor '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
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 = {-1.25, -0.3333333333}