10y+y^2=759

Solution for 10y+y^2=759 equation:

Simplifying
10y + y2 = 759

Solving
10y + y2 = 759

Solving for variable 'y'.

Reorder the terms:
-759 + 10y + y2 = 759 + -759

Combine like terms: 759 + -759 = 0
-759 + 10y + y2 = 0

Factor a trinomial.
(-33 + -1y)(23 + -1y) = 0

Subproblem 1
Set the factor '(-33 + -1y)' equal to zero and attempt to solve:

Simplifying
-33 + -1y = 0

Solving
-33 + -1y = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1y = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1y = 0 + 33
-1y = 0 + 33

Combine like terms: 0 + 33 = 33
-1y = 33

Divide each side by '-1'.
y = -33

Simplifying
y = -33
Subproblem 2
Set the factor '(23 + -1y)' equal to zero and attempt to solve:

Simplifying
23 + -1y = 0

Solving
23 + -1y = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1y = 0 + -23
-1y = 0 + -23

Combine like terms: 0 + -23 = -23
-1y = -23

Divide each side by '-1'.
y = 23

Simplifying
y = 23
Solution
y = {-33, 23}