7(-x+4)+16=5x(10x-6)-6

Solution for 7(-x+4)+16=5x(10x-6)-6 equation:

Simplifying
7(-1x + 4) + 16 = 5x(10x + -6) + -6

Reorder the terms:
7(4 + -1x) + 16 = 5x(10x + -6) + -6
(4 * 7 + -1x * 7) + 16 = 5x(10x + -6) + -6
(28 + -7x) + 16 = 5x(10x + -6) + -6

Reorder the terms:
28 + 16 + -7x = 5x(10x + -6) + -6

Combine like terms: 28 + 16 = 44
44 + -7x = 5x(10x + -6) + -6

Reorder the terms:
44 + -7x = 5x(-6 + 10x) + -6
44 + -7x = (-6 * 5x + 10x * 5x) + -6
44 + -7x = (-30x + 50x2) + -6

Reorder the terms:
44 + -7x = -6 + -30x + 50x2

Solving
44 + -7x = -6 + -30x + 50x2

Solving for variable 'x'.

Reorder the terms:
44 + 6 + -7x + 30x + -50x2 = -6 + -30x + 50x2 + 6 + 30x + -50x2

Combine like terms: 44 + 6 = 50
50 + -7x + 30x + -50x2 = -6 + -30x + 50x2 + 6 + 30x + -50x2

Combine like terms: -7x + 30x = 23x
50 + 23x + -50x2 = -6 + -30x + 50x2 + 6 + 30x + -50x2

Reorder the terms:
50 + 23x + -50x2 = -6 + 6 + -30x + 30x + 50x2 + -50x2

Combine like terms: -6 + 6 = 0
50 + 23x + -50x2 = 0 + -30x + 30x + 50x2 + -50x2
50 + 23x + -50x2 = -30x + 30x + 50x2 + -50x2

Combine like terms: -30x + 30x = 0
50 + 23x + -50x2 = 0 + 50x2 + -50x2
50 + 23x + -50x2 = 50x2 + -50x2

Combine like terms: 50x2 + -50x2 = 0
50 + 23x + -50x2 = 0

Begin completing the square.  Divide all terms by
-50 the coefficient of the squared term: 

Divide each side by '-50'.
-1 + -0.46x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -0.46x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -0.46x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -0.46x + x2 = 0 + 1
-0.46x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-0.46x + x2 = 1

The x term is -0.46x.  Take half its coefficient (-0.23).
Square it (0.0529) and add it to both sides.

Add '0.0529' to each side of the equation.
-0.46x + 0.0529 + x2 = 1 + 0.0529

Reorder the terms:
0.0529 + -0.46x + x2 = 1 + 0.0529

Combine like terms: 1 + 0.0529 = 1.0529
0.0529 + -0.46x + x2 = 1.0529

Factor a perfect square on the left side:
(x + -0.23)(x + -0.23) = 1.0529

Calculate the square root of the right side: 1.026109156

Break this problem into two subproblems by setting 
(x + -0.23) equal to 1.026109156 and -1.026109156.

Subproblem 1
x + -0.23 = 1.026109156

Simplifying
x + -0.23 = 1.026109156

Reorder the terms:
-0.23 + x = 1.026109156

Solving
-0.23 + x = 1.026109156

Solving for variable 'x'.

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

Add '0.23' to each side of the equation.
-0.23 + 0.23 + x = 1.026109156 + 0.23

Combine like terms: -0.23 + 0.23 = 0.00
0.00 + x = 1.026109156 + 0.23
x = 1.026109156 + 0.23

Combine like terms: 1.026109156 + 0.23 = 1.256109156
x = 1.256109156

Simplifying
x = 1.256109156

Subproblem 2
x + -0.23 = -1.026109156

Simplifying
x + -0.23 = -1.026109156

Reorder the terms:
-0.23 + x = -1.026109156

Solving
-0.23 + x = -1.026109156

Solving for variable 'x'.

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

Add '0.23' to each side of the equation.
-0.23 + 0.23 + x = -1.026109156 + 0.23

Combine like terms: -0.23 + 0.23 = 0.00
0.00 + x = -1.026109156 + 0.23
x = -1.026109156 + 0.23

Combine like terms: -1.026109156 + 0.23 = -0.796109156
x = -0.796109156

Simplifying
x = -0.796109156

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.256109156, -0.796109156}