[7x-(x+1)][7x+(x+1)]=

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Solution for [7x-(x+1)][7x+(x+1)]= equation: 


Simplifying
[7x + -1(x + 1)][7x + (x + 1)] = 0

Reorder the terms:
[7x + -1(1 + x)][7x + (x + 1)] = 0
[7x + (1 * -1 + x * -1)][7x + (x + 1)] = 0
[7x + (-1 + -1x)][7x + (x + 1)] = 0

Reorder the terms:
[-1 + 7x + -1x][7x + (x + 1)] = 0

Combine like terms: 7x + -1x = 6x
[-1 + 6x][7x + (x + 1)] = 0

Reorder the terms:
[-1 + 6x][7x + (1 + x)] = 0

Remove parenthesis around (1 + x)
[-1 + 6x][7x + 1 + x] = 0

Reorder the terms:
[-1 + 6x][1 + 7x + x] = 0

Combine like terms: 7x + x = 8x
[-1 + 6x][1 + 8x] = 0

Multiply [-1 + 6x] * [1 + 8x]
[-1[1 + 8x] + 6x * [1 + 8x]] = 0
[[1 * -1 + 8x * -1] + 6x * [1 + 8x]] = 0
[[-1 + -8x] + 6x * [1 + 8x]] = 0
[-1 + -8x + [1 * 6x + 8x * 6x]] = 0
[-1 + -8x + [6x + 48x2]] = 0

Combine like terms: -8x + 6x = -2x
[-1 + -2x + 48x2] = 0

Solving
-1 + -2x + 48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -8x)(1 + -6x) = 0


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

Simplifying
-1 + -8x = 0

Solving
-1 + -8x = 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 + -8x = 0 + 1

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

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

Divide each side by '-8'.
x = -0.125

Simplifying
x = -0.125

Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve:

Simplifying
1 + -6x = 0

Solving
1 + -6x = 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 + -6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = 0 + -1
-6x = 0 + -1

Combine like terms: 0 + -1 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667
Solution
x = {-0.125, 0.1666666667}

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