1+46y=-529y^2

Solution for 1+46y=-529y^2 equation:

Simplifying
1 + 46y = -529y2

Solving
1 + 46y = -529y2

Solving for variable 'y'.

Combine like terms: -529y2 + 529y2 = 0
1 + 46y + 529y2 = 0

Factor a trinomial.
(1 + 23y)(1 + 23y) = 0

Subproblem 1
Set the factor '(1 + 23y)' equal to zero and attempt to solve:

Simplifying
1 + 23y = 0

Solving
1 + 23y = 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 + 23y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 23y = 0 + -1
23y = 0 + -1

Combine like terms: 0 + -1 = -1
23y = -1

Divide each side by '23'.
y = -0.04347826087

Simplifying
y = -0.04347826087
Subproblem 2
Set the factor '(1 + 23y)' equal to zero and attempt to solve:

Simplifying
1 + 23y = 0

Solving
1 + 23y = 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 + 23y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 23y = 0 + -1
23y = 0 + -1

Combine like terms: 0 + -1 = -1
23y = -1

Divide each side by '23'.
y = -0.04347826087

Simplifying
y = -0.04347826087
Solution
y = {-0.04347826087, -0.04347826087}