18=6+32x-16x^2

Solution for 18=6+32x-16x^2 equation:

Simplifying
18 = 6 + 32x + -16x2

Solving
18 = 6 + 32x + -16x2

Solving for variable 'x'.

Combine like terms: 18 + -6 = 12
12 + -32x + 16x2 = 6 + 32x + -16x2 + -6 + -32x + 16x2

Reorder the terms:
12 + -32x + 16x2 = 6 + -6 + 32x + -32x + -16x2 + 16x2

Combine like terms: 6 + -6 = 0
12 + -32x + 16x2 = 0 + 32x + -32x + -16x2 + 16x2
12 + -32x + 16x2 = 32x + -32x + -16x2 + 16x2

Combine like terms: 32x + -32x = 0
12 + -32x + 16x2 = 0 + -16x2 + 16x2
12 + -32x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
12 + -32x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + -8x + 4x2) = 0

Factor a trinomial.
4((1 + -2x)(3 + -2x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {0.5, 1.5}