3a^2-4a-30=2

Solution for 3a^2-4a-30=2 equation:

Simplifying
3a2 + -4a + -30 = 2

Reorder the terms:
-30 + -4a + 3a2 = 2

Solving
-30 + -4a + 3a2 = 2

Solving for variable 'a'.

Reorder the terms:
-30 + -2 + -4a + 3a2 = 2 + -2

Combine like terms: -30 + -2 = -32
-32 + -4a + 3a2 = 2 + -2

Combine like terms: 2 + -2 = 0
-32 + -4a + 3a2 = 0

Factor a trinomial.
(-8 + -3a)(4 + -1a) = 0

Subproblem 1
Set the factor '(-8 + -3a)' equal to zero and attempt to solve:

Simplifying
-8 + -3a = 0

Solving
-8 + -3a = 0

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

Add '8' to each side of the equation.
-8 + 8 + -3a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3a = 0 + 8
-3a = 0 + 8

Combine like terms: 0 + 8 = 8
-3a = 8

Divide each side by '-3'.
a = -2.666666667

Simplifying
a = -2.666666667
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-2.666666667, 4}