=7y^2+15y+2

Solution for =7y^2+15y+2 equation:

Simplifying
0 = 7y2 + 15y + 2

Reorder the terms:
0 = 2 + 15y + 7y2

Solving
0 = 2 + 15y + 7y2

Solving for variable 'y'.

Combine like terms: 0 + -2 = -2
-2 + -15y + -7y2 = 2 + 15y + 7y2 + -2 + -15y + -7y2

Reorder the terms:
-2 + -15y + -7y2 = 2 + -2 + 15y + -15y + 7y2 + -7y2

Combine like terms: 2 + -2 = 0
-2 + -15y + -7y2 = 0 + 15y + -15y + 7y2 + -7y2
-2 + -15y + -7y2 = 15y + -15y + 7y2 + -7y2

Combine like terms: 15y + -15y = 0
-2 + -15y + -7y2 = 0 + 7y2 + -7y2
-2 + -15y + -7y2 = 7y2 + -7y2

Combine like terms: 7y2 + -7y2 = 0
-2 + -15y + -7y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 15y + 7y2) = 0

Factor a trinomial.
-1((2 + y)(1 + 7y)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(2 + y)' equal to zero and attempt to solve:

Simplifying
2 + y = 0

Solving
2 + y = 0

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

Add '-2' to each side of the equation.
2 + -2 + y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + y = 0 + -2
y = 0 + -2

Combine like terms: 0 + -2 = -2
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(1 + 7y)' equal to zero and attempt to solve:

Simplifying
1 + 7y = 0

Solving
1 + 7y = 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 + 7y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7y = 0 + -1
7y = 0 + -1

Combine like terms: 0 + -1 = -1
7y = -1

Divide each side by '7'.
y = -0.1428571429

Simplifying
y = -0.1428571429
Solution
y = {-2, -0.1428571429}