7y^2-91y-98=0

Solution for 7y^2-91y-98=0 equation:

Simplifying
7y2 + -91y + -98 = 0

Reorder the terms:
-98 + -91y + 7y2 = 0

Solving
-98 + -91y + 7y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-14 + -13y + y2) = 0

Factor a trinomial.
7((-1 + -1y)(14 + -1y)) = 0

Ignore the factor 7.
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 '(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 = {-1, 14}