2=z+15z^2

Solution for 2=z+15z^2 equation:

Simplifying
2 = z + 15z2

Solving
2 = z + 15z2

Solving for variable 'z'.

Reorder the terms:
2 + -1z + -15z2 = z + -1z + 15z2 + -15z2

Combine like terms: z + -1z = 0
2 + -1z + -15z2 = 0 + 15z2 + -15z2
2 + -1z + -15z2 = 15z2 + -15z2

Combine like terms: 15z2 + -15z2 = 0
2 + -1z + -15z2 = 0

Factor a trinomial.
(1 + -3z)(2 + 5z) = 0

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

Simplifying
1 + -3z = 0

Solving
1 + -3z = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3z = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3z = 0 + -1
-3z = 0 + -1

Combine like terms: 0 + -1 = -1
-3z = -1

Divide each side by '-3'.
z = 0.3333333333

Simplifying
z = 0.3333333333
Subproblem 2
Set the factor '(2 + 5z)' equal to zero and attempt to solve:

Simplifying
2 + 5z = 0

Solving
2 + 5z = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5z = 0 + -2
5z = 0 + -2

Combine like terms: 0 + -2 = -2
5z = -2

Divide each side by '5'.
z = -0.4

Simplifying
z = -0.4
Solution
z = {0.3333333333, -0.4}