16x^2-6x=22

Solution for 16x^2-6x=22 equation:

Simplifying
16x2 + -6x = 22

Reorder the terms:
-6x + 16x2 = 22

Solving
-6x + 16x2 = 22

Solving for variable 'x'.

Reorder the terms:
-22 + -6x + 16x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-22 + -6x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-11 + -3x + 8x2) = 0

Factor a trinomial.
2((-1 + -1x)(11 + -8x)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(11 + -8x)' equal to zero and attempt to solve:

Simplifying
11 + -8x = 0

Solving
11 + -8x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -8x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -8x = 0 + -11
-8x = 0 + -11

Combine like terms: 0 + -11 = -11
-8x = -11

Divide each side by '-8'.
x = 1.375

Simplifying
x = 1.375
Solution
x = {-1, 1.375}