6a^2-11a=-4

Solution for 6a^2-11a=-4 equation:

Simplifying
6a2 + -11a = -4

Reorder the terms:
-11a + 6a2 = -4

Solving
-11a + 6a2 = -4

Solving for variable 'a'.

Reorder the terms:
4 + -11a + 6a2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -11a + 6a2 = 0

Factor a trinomial.
(1 + -2a)(4 + -3a) = 0

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

Simplifying
1 + -2a = 0

Solving
1 + -2a = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 0 + -1
-2a = 0 + -1

Combine like terms: 0 + -1 = -1
-2a = -1

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 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 + -3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {0.5, 1.333333333}