10z^2+9z+2=

Solution for 10z^2+9z+2= equation:

Simplifying
10z2 + 9z + 2 = 0

Reorder the terms:
2 + 9z + 10z2 = 0

Solving
2 + 9z + 10z2 = 0

Solving for variable 'z'.

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

Subproblem 1
Set the factor '(1 + 2z)' equal to zero and attempt to solve:

Simplifying
1 + 2z = 0

Solving
1 + 2z = 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 + 2z = 0 + -1

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

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

Divide each side by '2'.
z = -0.5

Simplifying
z = -0.5
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 = {-0.5, -0.4}