2x^2+14x+6=4x-6

Solution for 2x^2+14x+6=4x-6 equation:

Simplifying
2x2 + 14x + 6 = 4x + -6

Reorder the terms:
6 + 14x + 2x2 = 4x + -6

Reorder the terms:
6 + 14x + 2x2 = -6 + 4x

Solving
6 + 14x + 2x2 = -6 + 4x

Solving for variable 'x'.

Reorder the terms:
6 + 6 + 14x + -4x + 2x2 = -6 + 4x + 6 + -4x

Combine like terms: 6 + 6 = 12
12 + 14x + -4x + 2x2 = -6 + 4x + 6 + -4x

Combine like terms: 14x + -4x = 10x
12 + 10x + 2x2 = -6 + 4x + 6 + -4x

Reorder the terms:
12 + 10x + 2x2 = -6 + 6 + 4x + -4x

Combine like terms: -6 + 6 = 0
12 + 10x + 2x2 = 0 + 4x + -4x
12 + 10x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
12 + 10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 5x + x2) = 0

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

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

Simplifying
3 + x = 0

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

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

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

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-3, -2}