-2z^2-28z=-30

Solution for -2z^2-28z=-30 equation:

Simplifying
-2z2 + -28z = -30

Reorder the terms:
-28z + -2z2 = -30

Solving
-28z + -2z2 = -30

Solving for variable 'z'.

Reorder the terms:
30 + -28z + -2z2 = -30 + 30

Combine like terms: -30 + 30 = 0
30 + -28z + -2z2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -14z + -1z2) = 0

Factor a trinomial.
2((1 + -1z)(15 + z)) = 0

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

Simplifying
1 + -1z = 0

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

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

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

Divide each side by '-1'.
z = 1

Simplifying
z = 1
Subproblem 2
Set the factor '(15 + z)' equal to zero and attempt to solve:

Simplifying
15 + z = 0

Solving
15 + z = 0

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

Add '-15' to each side of the equation.
15 + -15 + z = 0 + -15

Combine like terms: 15 + -15 = 0
0 + z = 0 + -15
z = 0 + -15

Combine like terms: 0 + -15 = -15
z = -15

Simplifying
z = -15
Solution
z = {1, -15}