3a^2-26a+30=-5

Solution for 3a^2-26a+30=-5 equation:

Simplifying
3a2 + -26a + 30 = -5

Reorder the terms:
30 + -26a + 3a2 = -5

Solving
30 + -26a + 3a2 = -5

Solving for variable 'a'.

Reorder the terms:
30 + 5 + -26a + 3a2 = -5 + 5

Combine like terms: 30 + 5 = 35
35 + -26a + 3a2 = -5 + 5

Combine like terms: -5 + 5 = 0
35 + -26a + 3a2 = 0

Factor a trinomial.
(5 + -3a)(7 + -1a) = 0

Subproblem 1
Set the factor '(5 + -3a)' equal to zero and attempt to solve:

Simplifying
5 + -3a = 0

Solving
5 + -3a = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3a = 0 + -5
-3a = 0 + -5

Combine like terms: 0 + -5 = -5
-3a = -5

Divide each side by '-3'.
a = 1.666666667

Simplifying
a = 1.666666667
Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {1.666666667, 7}