-16T^2+42T+18=0

Solution for -16T^2+42T+18=0 equation:

Simplifying
-16T2 + 42T + 18 = 0

Reorder the terms:
18 + 42T + -16T2 = 0

Solving
18 + 42T + -16T2 = 0

Solving for variable 'T'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 21T + -8T2) = 0

Factor a trinomial.
2((3 + -1T)(3 + 8T)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -1T)' equal to zero and attempt to solve:

Simplifying
3 + -1T = 0

Solving
3 + -1T = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1T = 0 + -3

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

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

Divide each side by '-1'.
T = 3

Simplifying
T = 3
Subproblem 2
Set the factor '(3 + 8T)' equal to zero and attempt to solve:

Simplifying
3 + 8T = 0

Solving
3 + 8T = 0

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

Add '-3' to each side of the equation.
3 + -3 + 8T = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8T = 0 + -3
8T = 0 + -3

Combine like terms: 0 + -3 = -3
8T = -3

Divide each side by '8'.
T = -0.375

Simplifying
T = -0.375
Solution
T = {3, -0.375}