-18x^2-53x+3=0

Solution for -18x^2-53x+3=0 equation:

Simplifying
-18x2 + -53x + 3 = 0

Reorder the terms:
3 + -53x + -18x2 = 0

Solving
3 + -53x + -18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -18x)(3 + x) = 0

Subproblem 1
Set the factor '(1 + -18x)' equal to zero and attempt to solve:

Simplifying
1 + -18x = 0

Solving
1 + -18x = 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 + -18x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -18x = 0 + -1
-18x = 0 + -1

Combine like terms: 0 + -1 = -1
-18x = -1

Divide each side by '-18'.
x = 0.05555555556

Simplifying
x = 0.05555555556
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

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

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

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

Simplifying
x = -3
Solution
x = {0.05555555556, -3}