9x-2(8x^2-7)-(-7x^2+x-4)=

Solution for 9x-2(8x^2-7)-(-7x^2+x-4)= equation:

Simplifying
9x + -2(8x2 + -7) + -1(-7x2 + x + -4) = 0

Reorder the terms:
9x + -2(-7 + 8x2) + -1(-7x2 + x + -4) = 0
9x + (-7 * -2 + 8x2 * -2) + -1(-7x2 + x + -4) = 0
9x + (14 + -16x2) + -1(-7x2 + x + -4) = 0

Reorder the terms:
9x + 14 + -16x2 + -1(-4 + x + -7x2) = 0
9x + 14 + -16x2 + (-4 * -1 + x * -1 + -7x2 * -1) = 0
9x + 14 + -16x2 + (4 + -1x + 7x2) = 0

Reorder the terms:
14 + 4 + 9x + -1x + -16x2 + 7x2 = 0

Combine like terms: 14 + 4 = 18
18 + 9x + -1x + -16x2 + 7x2 = 0

Combine like terms: 9x + -1x = 8x
18 + 8x + -16x2 + 7x2 = 0

Combine like terms: -16x2 + 7x2 = -9x2
18 + 8x + -9x2 = 0

Solving
18 + 8x + -9x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-2 + -0.8888888889x + x2 = 0

Move the constant term to the right:

Add '2' to each side of the equation.
-2 + -0.8888888889x + 2 + x2 = 0 + 2

Reorder the terms:
-2 + 2 + -0.8888888889x + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -0.8888888889x + x2 = 0 + 2
-0.8888888889x + x2 = 0 + 2

Combine like terms: 0 + 2 = 2
-0.8888888889x + x2 = 2

The x term is -0.8888888889x.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889x + 0.1975308642 + x2 = 2 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889x + x2 = 2 + 0.1975308642

Combine like terms: 2 + 0.1975308642 = 2.1975308642
0.1975308642 + -0.8888888889x + x2 = 2.1975308642

Factor a perfect square on the left side:
(x + -0.4444444445)(x + -0.4444444445) = 2.1975308642

Calculate the square root of the right side: 1.482407118

Break this problem into two subproblems by setting 
(x + -0.4444444445) equal to 1.482407118 and -1.482407118.

Subproblem 1
x + -0.4444444445 = 1.482407118

Simplifying
x + -0.4444444445 = 1.482407118

Reorder the terms:
-0.4444444445 + x = 1.482407118

Solving
-0.4444444445 + x = 1.482407118

Solving for variable 'x'.

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

Add '0.4444444445' to each side of the equation.
-0.4444444445 + 0.4444444445 + x = 1.482407118 + 0.4444444445

Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000
0.0000000000 + x = 1.482407118 + 0.4444444445
x = 1.482407118 + 0.4444444445

Combine like terms: 1.482407118 + 0.4444444445 = 1.9268515625
x = 1.9268515625

Simplifying
x = 1.9268515625

Subproblem 2
x + -0.4444444445 = -1.482407118

Simplifying
x + -0.4444444445 = -1.482407118

Reorder the terms:
-0.4444444445 + x = -1.482407118

Solving
-0.4444444445 + x = -1.482407118

Solving for variable 'x'.

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

Add '0.4444444445' to each side of the equation.
-0.4444444445 + 0.4444444445 + x = -1.482407118 + 0.4444444445

Combine like terms: -0.4444444445 + 0.4444444445 = 0.0000000000
0.0000000000 + x = -1.482407118 + 0.4444444445
x = -1.482407118 + 0.4444444445

Combine like terms: -1.482407118 + 0.4444444445 = -1.0379626735
x = -1.0379626735

Simplifying
x = -1.0379626735

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.9268515625, -1.0379626735}