y^2+3y-1054=0

Solution for y^2+3y-1054=0 equation:

Simplifying
y2 + 3y + -1054 = 0

Reorder the terms:
-1054 + 3y + y2 = 0

Solving
-1054 + 3y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-34 + -1y)(31 + -1y) = 0

Subproblem 1
Set the factor '(-34 + -1y)' equal to zero and attempt to solve:

Simplifying
-34 + -1y = 0

Solving
-34 + -1y = 0

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

Add '34' to each side of the equation.
-34 + 34 + -1y = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -1y = 0 + 34
-1y = 0 + 34

Combine like terms: 0 + 34 = 34
-1y = 34

Divide each side by '-1'.
y = -34

Simplifying
y = -34
Subproblem 2
Set the factor '(31 + -1y)' equal to zero and attempt to solve:

Simplifying
31 + -1y = 0

Solving
31 + -1y = 0

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

Add '-31' to each side of the equation.
31 + -31 + -1y = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -1y = 0 + -31
-1y = 0 + -31

Combine like terms: 0 + -31 = -31
-1y = -31

Divide each side by '-1'.
y = 31

Simplifying
y = 31
Solution
y = {-34, 31}