3y^2+7y=10

Solution for 3y^2+7y=10 equation:

Simplifying
3y2 + 7y = 10

Reorder the terms:
7y + 3y2 = 10

Solving
7y + 3y2 = 10

Solving for variable 'y'.

Reorder the terms:
-10 + 7y + 3y2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 7y + 3y2 = 0

Factor a trinomial.
(-10 + -3y)(1 + -1y) = 0

Subproblem 1
Set the factor '(-10 + -3y)' equal to zero and attempt to solve:

Simplifying
-10 + -3y = 0

Solving
-10 + -3y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 0 + 10
-3y = 0 + 10

Combine like terms: 0 + 10 = 10
-3y = 10

Divide each side by '-3'.
y = -3.333333333

Simplifying
y = -3.333333333
Subproblem 2
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
Solution
y = {-3.333333333, 1}