(8x^2+14x+4)=1

Solution for (8x^2+14x+4)=1 equation:

Simplifying
(8x2 + 14x + 4) = 1

Reorder the terms:
(4 + 14x + 8x2) = 1

Remove parenthesis around (4 + 14x + 8x2)
4 + 14x + 8x2 = 1

Solving
4 + 14x + 8x2 = 1

Solving for variable 'x'.

Reorder the terms:
4 + -1 + 14x + 8x2 = 1 + -1

Combine like terms: 4 + -1 = 3
3 + 14x + 8x2 = 1 + -1

Combine like terms: 1 + -1 = 0
3 + 14x + 8x2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
x = {-1.5, -0.25}