9=-16x^2+19x+6

Solution for 9=-16x^2+19x+6 equation:

Simplifying
9 = -16x2 + 19x + 6

Reorder the terms:
9 = 6 + 19x + -16x2

Solving
9 = 6 + 19x + -16x2

Solving for variable 'x'.

Combine like terms: 9 + -6 = 3
3 + -19x + 16x2 = 6 + 19x + -16x2 + -6 + -19x + 16x2

Reorder the terms:
3 + -19x + 16x2 = 6 + -6 + 19x + -19x + -16x2 + 16x2

Combine like terms: 6 + -6 = 0
3 + -19x + 16x2 = 0 + 19x + -19x + -16x2 + 16x2
3 + -19x + 16x2 = 19x + -19x + -16x2 + 16x2

Combine like terms: 19x + -19x = 0
3 + -19x + 16x2 = 0 + -16x2 + 16x2
3 + -19x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
3 + -19x + 16x2 = 0

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

Subproblem 1
Set the factor '(3 + -16x)' equal to zero and attempt to solve:

Simplifying
3 + -16x = 0

Solving
3 + -16x = 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 + -16x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -16x = 0 + -3
-16x = 0 + -3

Combine like terms: 0 + -3 = -3
-16x = -3

Divide each side by '-16'.
x = 0.1875

Simplifying
x = 0.1875
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {0.1875, 1}