7y^2-3y=4

Solution for 7y^2-3y=4 equation:

Simplifying
7y2 + -3y = 4

Reorder the terms:
-3y + 7y2 = 4

Solving
-3y + 7y2 = 4

Solving for variable 'y'.

Reorder the terms:
-4 + -3y + 7y2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -3y + 7y2 = 0

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

Subproblem 1
Set the factor '(-4 + -7y)' equal to zero and attempt to solve:

Simplifying
-4 + -7y = 0

Solving
-4 + -7y = 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 + -7y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7y = 0 + 4
-7y = 0 + 4

Combine like terms: 0 + 4 = 4
-7y = 4

Divide each side by '-7'.
y = -0.5714285714

Simplifying
y = -0.5714285714
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 = {-0.5714285714, 1}