8=-16x^2+12x+6

Solution for 8=-16x^2+12x+6 equation:

Simplifying
8 = -16x2 + 12x + 6

Reorder the terms:
8 = 6 + 12x + -16x2

Solving
8 = 6 + 12x + -16x2

Solving for variable 'x'.

Combine like terms: 8 + -6 = 2
2 + -12x + 16x2 = 6 + 12x + -16x2 + -6 + -12x + 16x2

Reorder the terms:
2 + -12x + 16x2 = 6 + -6 + 12x + -12x + -16x2 + 16x2

Combine like terms: 6 + -6 = 0
2 + -12x + 16x2 = 0 + 12x + -12x + -16x2 + 16x2
2 + -12x + 16x2 = 12x + -12x + -16x2 + 16x2

Combine like terms: 12x + -12x = 0
2 + -12x + 16x2 = 0 + -16x2 + 16x2
2 + -12x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
2 + -12x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -6x + 8x2) = 0

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

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

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Subproblem 2
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
Solution
x = {0.25, 0.5}