12a^2+14d-6=0

Solution for 12a^2+14d-6=0 equation:

Simplifying
12a2 + 14d + -6 = 0

Reorder the terms:
-6 + 12a2 + 14d = 0

Solving
-6 + 12a2 + 14d = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 12a2 + 6 + 14d = 0 + 6

Reorder the terms:
-6 + 6 + 12a2 + 14d = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 12a2 + 14d = 0 + 6
12a2 + 14d = 0 + 6

Combine like terms: 0 + 6 = 6
12a2 + 14d = 6

Add '-14d' to each side of the equation.
12a2 + 14d + -14d = 6 + -14d

Combine like terms: 14d + -14d = 0
12a2 + 0 = 6 + -14d
12a2 = 6 + -14d

Divide each side by '12'.
a2 = 0.5 + -1.166666667d

Simplifying
a2 = 0.5 + -1.166666667d

Reorder the terms:
-0.5 + a2 + 1.166666667d = 0.5 + -1.166666667d + -0.5 + 1.166666667d

Reorder the terms:
-0.5 + a2 + 1.166666667d = 0.5 + -0.5 + -1.166666667d + 1.166666667d

Combine like terms: 0.5 + -0.5 = 0.0
-0.5 + a2 + 1.166666667d = 0.0 + -1.166666667d + 1.166666667d
-0.5 + a2 + 1.166666667d = -1.166666667d + 1.166666667d

Combine like terms: -1.166666667d + 1.166666667d = 0.000000000
-0.5 + a2 + 1.166666667d = 0.000000000

The solution to this equation could not be determined.