18a^2+10a=-11a+4

Solution for 18a^2+10a=-11a+4 equation:

Simplifying
18a2 + 10a = -11a + 4

Reorder the terms:
10a + 18a2 = -11a + 4

Reorder the terms:
10a + 18a2 = 4 + -11a

Solving
10a + 18a2 = 4 + -11a

Solving for variable 'a'.

Reorder the terms:
-4 + 10a + 11a + 18a2 = 4 + -11a + -4 + 11a

Combine like terms: 10a + 11a = 21a
-4 + 21a + 18a2 = 4 + -11a + -4 + 11a

Reorder the terms:
-4 + 21a + 18a2 = 4 + -4 + -11a + 11a

Combine like terms: 4 + -4 = 0
-4 + 21a + 18a2 = 0 + -11a + 11a
-4 + 21a + 18a2 = -11a + 11a

Combine like terms: -11a + 11a = 0
-4 + 21a + 18a2 = 0

Factor a trinomial.
(-4 + -3a)(1 + -6a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -6a)' equal to zero and attempt to solve:

Simplifying
1 + -6a = 0

Solving
1 + -6a = 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 + -6a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6a = 0 + -1
-6a = 0 + -1

Combine like terms: 0 + -1 = -1
-6a = -1

Divide each side by '-6'.
a = 0.1666666667

Simplifying
a = 0.1666666667
Solution
a = {-1.333333333, 0.1666666667}