14x^2+2x=12

Solution for 14x^2+2x=12 equation:

Simplifying
14x2 + 2x = 12

Reorder the terms:
2x + 14x2 = 12

Solving
2x + 14x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + 2x + 14x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 2x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + x + 7x2) = 0

Factor a trinomial.
2((-1 + -1x)(6 + -7x)) = 0

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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-1, 0.8571428571}