35z^2+16z-12=0

Solution for 35z^2+16z-12=0 equation:

Simplifying
35z2 + 16z + -12 = 0

Reorder the terms:
-12 + 16z + 35z2 = 0

Solving
-12 + 16z + 35z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-6 + -7z)(2 + -5z) = 0

Subproblem 1
Set the factor '(-6 + -7z)' equal to zero and attempt to solve:

Simplifying
-6 + -7z = 0

Solving
-6 + -7z = 0

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

Add '6' to each side of the equation.
-6 + 6 + -7z = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7z = 0 + 6
-7z = 0 + 6

Combine like terms: 0 + 6 = 6
-7z = 6

Divide each side by '-7'.
z = -0.8571428571

Simplifying
z = -0.8571428571
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 = {-0.8571428571, 0.4}