-2(x)=8x^2-1

Solution for -2(x)=8x^2-1 equation:

Simplifying
-2(x) = 8x2 + -1

Reorder the terms:
-2x = -1 + 8x2

Solving
-2x = -1 + 8x2

Solving for variable 'x'.

Reorder the terms:
1 + -2x + -8x2 = -1 + 8x2 + 1 + -8x2

Reorder the terms:
1 + -2x + -8x2 = -1 + 1 + 8x2 + -8x2

Combine like terms: -1 + 1 = 0
1 + -2x + -8x2 = 0 + 8x2 + -8x2
1 + -2x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
1 + -2x + -8x2 = 0

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

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}