-8(14x+2)=19(5-5x)-35x(14x-21)3

Solution for -8(14x+2)=19(5-5x)-35x(14x-21)3 equation:

Simplifying
-8(14x + 2) = 19(5 + -5x) + -35x(14x + -21) * 3

Reorder the terms:
-8(2 + 14x) = 19(5 + -5x) + -35x(14x + -21) * 3
(2 * -8 + 14x * -8) = 19(5 + -5x) + -35x(14x + -21) * 3
(-16 + -112x) = 19(5 + -5x) + -35x(14x + -21) * 3
-16 + -112x = (5 * 19 + -5x * 19) + -35x(14x + -21) * 3
-16 + -112x = (95 + -95x) + -35x(14x + -21) * 3

Reorder the terms:
-16 + -112x = 95 + -95x + -35x(-21 + 14x) * 3

Reorder the terms for easier multiplication:
-16 + -112x = 95 + -95x + -35 * 3x(-21 + 14x)

Multiply -35 * 3
-16 + -112x = 95 + -95x + -105x(-21 + 14x)
-16 + -112x = 95 + -95x + (-21 * -105x + 14x * -105x)
-16 + -112x = 95 + -95x + (2205x + -1470x2)

Combine like terms: -95x + 2205x = 2110x
-16 + -112x = 95 + 2110x + -1470x2

Solving
-16 + -112x = 95 + 2110x + -1470x2

Solving for variable 'x'.

Reorder the terms:
-16 + -95 + -112x + -2110x + 1470x2 = 95 + 2110x + -1470x2 + -95 + -2110x + 1470x2

Combine like terms: -16 + -95 = -111
-111 + -112x + -2110x + 1470x2 = 95 + 2110x + -1470x2 + -95 + -2110x + 1470x2

Combine like terms: -112x + -2110x = -2222x
-111 + -2222x + 1470x2 = 95 + 2110x + -1470x2 + -95 + -2110x + 1470x2

Reorder the terms:
-111 + -2222x + 1470x2 = 95 + -95 + 2110x + -2110x + -1470x2 + 1470x2

Combine like terms: 95 + -95 = 0
-111 + -2222x + 1470x2 = 0 + 2110x + -2110x + -1470x2 + 1470x2
-111 + -2222x + 1470x2 = 2110x + -2110x + -1470x2 + 1470x2

Combine like terms: 2110x + -2110x = 0
-111 + -2222x + 1470x2 = 0 + -1470x2 + 1470x2
-111 + -2222x + 1470x2 = -1470x2 + 1470x2

Combine like terms: -1470x2 + 1470x2 = 0
-111 + -2222x + 1470x2 = 0

Begin completing the square.  Divide all terms by
1470 the coefficient of the squared term: 

Divide each side by '1470'.
-0.07551020408 + -1.511564626x + x2 = 0

Move the constant term to the right:

Add '0.07551020408' to each side of the equation.
-0.07551020408 + -1.511564626x + 0.07551020408 + x2 = 0 + 0.07551020408

Reorder the terms:
-0.07551020408 + 0.07551020408 + -1.511564626x + x2 = 0 + 0.07551020408

Combine like terms: -0.07551020408 + 0.07551020408 = 0.00000000000
0.00000000000 + -1.511564626x + x2 = 0 + 0.07551020408
-1.511564626x + x2 = 0 + 0.07551020408

Combine like terms: 0 + 0.07551020408 = 0.07551020408
-1.511564626x + x2 = 0.07551020408

The x term is -1.511564626x.  Take half its coefficient (-0.755782313).
Square it (0.5712069046) and add it to both sides.

Add '0.5712069046' to each side of the equation.
-1.511564626x + 0.5712069046 + x2 = 0.07551020408 + 0.5712069046

Reorder the terms:
0.5712069046 + -1.511564626x + x2 = 0.07551020408 + 0.5712069046

Combine like terms: 0.07551020408 + 0.5712069046 = 0.64671710868
0.5712069046 + -1.511564626x + x2 = 0.64671710868

Factor a perfect square on the left side:
(x + -0.755782313)(x + -0.755782313) = 0.64671710868

Calculate the square root of the right side: 0.804187235

Break this problem into two subproblems by setting 
(x + -0.755782313) equal to 0.804187235 and -0.804187235.

Subproblem 1
x + -0.755782313 = 0.804187235

Simplifying
x + -0.755782313 = 0.804187235

Reorder the terms:
-0.755782313 + x = 0.804187235

Solving
-0.755782313 + x = 0.804187235

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.755782313' to each side of the equation.
-0.755782313 + 0.755782313 + x = 0.804187235 + 0.755782313

Combine like terms: -0.755782313 + 0.755782313 = 0.000000000
0.000000000 + x = 0.804187235 + 0.755782313
x = 0.804187235 + 0.755782313

Combine like terms: 0.804187235 + 0.755782313 = 1.559969548
x = 1.559969548

Simplifying
x = 1.559969548

Subproblem 2
x + -0.755782313 = -0.804187235

Simplifying
x + -0.755782313 = -0.804187235

Reorder the terms:
-0.755782313 + x = -0.804187235

Solving
-0.755782313 + x = -0.804187235

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.755782313' to each side of the equation.
-0.755782313 + 0.755782313 + x = -0.804187235 + 0.755782313

Combine like terms: -0.755782313 + 0.755782313 = 0.000000000
0.000000000 + x = -0.804187235 + 0.755782313
x = -0.804187235 + 0.755782313

Combine like terms: -0.804187235 + 0.755782313 = -0.048404922
x = -0.048404922

Simplifying
x = -0.048404922

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.559969548, -0.048404922}