-16x^2+33x+45=0

Solution for -16x^2+33x+45=0 equation:

Simplifying
-16x2 + 33x + 45 = 0

Reorder the terms:
45 + 33x + -16x2 = 0

Solving
45 + 33x + -16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(15 + 16x) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(15 + 16x)' equal to zero and attempt to solve:

Simplifying
15 + 16x = 0

Solving
15 + 16x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 16x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 16x = 0 + -15
16x = 0 + -15

Combine like terms: 0 + -15 = -15
16x = -15

Divide each side by '16'.
x = -0.9375

Simplifying
x = -0.9375
Solution
x = {3, -0.9375}