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

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

Simplifying
18x2 + 10x = -11x + 4

Reorder the terms:
10x + 18x2 = -11x + 4

Reorder the terms:
10x + 18x2 = 4 + -11x

Solving
10x + 18x2 = 4 + -11x

Solving for variable 'x'.

Reorder the terms:
-4 + 10x + 11x + 18x2 = 4 + -11x + -4 + 11x

Combine like terms: 10x + 11x = 21x
-4 + 21x + 18x2 = 4 + -11x + -4 + 11x

Reorder the terms:
-4 + 21x + 18x2 = 4 + -4 + -11x + 11x

Combine like terms: 4 + -4 = 0
-4 + 21x + 18x2 = 0 + -11x + 11x
-4 + 21x + 18x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-4 + 21x + 18x2 = 0

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

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

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

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

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

Simplifying
x = -1.333333333
Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6x = 0 + -1

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

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

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

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