0=-16*x^2+29*x+6

Solution for 0=-16*x^2+29*x+6 equation:

Simplifying
0 = -16x2 + 29x + 6

Reorder the terms:
0 = 6 + 29x + -16x2

Solving
0 = 6 + 29x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -29x + 16x2 = 6 + 29x + -16x2 + -6 + -29x + 16x2

Reorder the terms:
-6 + -29x + 16x2 = 6 + -6 + 29x + -29x + -16x2 + 16x2

Combine like terms: 6 + -6 = 0
-6 + -29x + 16x2 = 0 + 29x + -29x + -16x2 + 16x2
-6 + -29x + 16x2 = 29x + -29x + -16x2 + 16x2

Combine like terms: 29x + -29x = 0
-6 + -29x + 16x2 = 0 + -16x2 + 16x2
-6 + -29x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
-6 + -29x + 16x2 = 0

Factor a trinomial.
(-3 + -16x)(2 + -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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-0.1875, 2}