y^2-19y+70=0

Solution for y^2-19y+70=0 equation:

Simplifying
y2 + -19y + 70 = 0

Reorder the terms:
70 + -19y + y2 = 0

Solving
70 + -19y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(5 + -1y)(14 + -1y) = 0

Subproblem 1
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Subproblem 2
Set the factor '(14 + -1y)' equal to zero and attempt to solve:

Simplifying
14 + -1y = 0

Solving
14 + -1y = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1y = 0 + -14
-1y = 0 + -14

Combine like terms: 0 + -14 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14
Solution
y = {5, 14}