2x^2+x-2730*2=0

Solution for 2x^2+x-2730*2=0 equation:

Simplifying
2x2 + x + -2730 * 2 = 0

Multiply -2730 * 2
2x2 + x + -5460 = 0

Reorder the terms:
-5460 + x + 2x2 = 0

Solving
-5460 + x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-105 + -2x)(52 + -1x) = 0

Subproblem 1
Set the factor '(-105 + -2x)' equal to zero and attempt to solve:

Simplifying
-105 + -2x = 0

Solving
-105 + -2x = 0

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

Add '105' to each side of the equation.
-105 + 105 + -2x = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -2x = 0 + 105
-2x = 0 + 105

Combine like terms: 0 + 105 = 105
-2x = 105

Divide each side by '-2'.
x = -52.5

Simplifying
x = -52.5
Subproblem 2
Set the factor '(52 + -1x)' equal to zero and attempt to solve:

Simplifying
52 + -1x = 0

Solving
52 + -1x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -1x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -1x = 0 + -52
-1x = 0 + -52

Combine like terms: 0 + -52 = -52
-1x = -52

Divide each side by '-1'.
x = 52

Simplifying
x = 52
Solution
x = {-52.5, 52}