y^2-71y-72=0

Solution for y^2-71y-72=0 equation:

Simplifying
y2 + -71y + -72 = 0

Reorder the terms:
-72 + -71y + y2 = 0

Solving
-72 + -71y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-1 + -1y)(72 + -1y) = 0

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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 0

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

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

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(72 + -1y)' equal to zero and attempt to solve:

Simplifying
72 + -1y = 0

Solving
72 + -1y = 0

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

Add '-72' to each side of the equation.
72 + -72 + -1y = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -1y = 0 + -72
-1y = 0 + -72

Combine like terms: 0 + -72 = -72
-1y = -72

Divide each side by '-1'.
y = 72

Simplifying
y = 72
Solution
y = {-1, 72}