7y^2+72y-400=0

Solution for 7y^2+72y-400=0 equation:

Simplifying
7y2 + 72y + -400 = 0

Reorder the terms:
-400 + 72y + 7y2 = 0

Solving
-400 + 72y + 7y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-100 + -7y)(4 + -1y) = 0

Subproblem 1
Set the factor '(-100 + -7y)' equal to zero and attempt to solve:

Simplifying
-100 + -7y = 0

Solving
-100 + -7y = 0

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

Add '100' to each side of the equation.
-100 + 100 + -7y = 0 + 100

Combine like terms: -100 + 100 = 0
0 + -7y = 0 + 100
-7y = 0 + 100

Combine like terms: 0 + 100 = 100
-7y = 100

Divide each side by '-7'.
y = -14.28571429

Simplifying
y = -14.28571429
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-14.28571429, 4}