6x^2+x-1=14x+14

Solution for 6x^2+x-1=14x+14 equation:

Simplifying
6x2 + x + -1 = 14x + 14

Reorder the terms:
-1 + x + 6x2 = 14x + 14

Reorder the terms:
-1 + x + 6x2 = 14 + 14x

Solving
-1 + x + 6x2 = 14 + 14x

Solving for variable 'x'.

Reorder the terms:
-1 + -14 + x + -14x + 6x2 = 14 + 14x + -14 + -14x

Combine like terms: -1 + -14 = -15
-15 + x + -14x + 6x2 = 14 + 14x + -14 + -14x

Combine like terms: x + -14x = -13x
-15 + -13x + 6x2 = 14 + 14x + -14 + -14x

Reorder the terms:
-15 + -13x + 6x2 = 14 + -14 + 14x + -14x

Combine like terms: 14 + -14 = 0
-15 + -13x + 6x2 = 0 + 14x + -14x
-15 + -13x + 6x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
-15 + -13x + 6x2 = 0

Factor a trinomial.
(-5 + -6x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -6x)' equal to zero and attempt to solve:

Simplifying
-5 + -6x = 0

Solving
-5 + -6x = 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 + -6x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 0 + 5
-6x = 0 + 5

Combine like terms: 0 + 5 = 5
-6x = 5

Divide each side by '-6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.8333333333, 3}