7y^2+10y-125=0

Solution for 7y^2+10y-125=0 equation:

Simplifying
7y2 + 10y + -125 = 0

Reorder the terms:
-125 + 10y + 7y2 = 0

Solving
-125 + 10y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -1y)(25 + -7y) = 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 '(25 + -7y)' equal to zero and attempt to solve:

Simplifying
25 + -7y = 0

Solving
25 + -7y = 0

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

Add '-25' to each side of the equation.
25 + -25 + -7y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -7y = 0 + -25
-7y = 0 + -25

Combine like terms: 0 + -25 = -25
-7y = -25

Divide each side by '-7'.
y = 3.571428571

Simplifying
y = 3.571428571
Solution
y = {-5, 3.571428571}