(5x^2-7-1)+(3x^2-5+7)-(x^2-5x-3)=

Solution for (5x^2-7-1)+(3x^2-5+7)-(x^2-5x-3)= equation:

Simplifying
(5x2 + -7 + -1) + (3x2 + -5 + 7) + -1(x2 + -5x + -3) = 0

Reorder the terms:
(-7 + -1 + 5x2) + (3x2 + -5 + 7) + -1(x2 + -5x + -3) = 0

Combine like terms: -7 + -1 = -8
(-8 + 5x2) + (3x2 + -5 + 7) + -1(x2 + -5x + -3) = 0

Remove parenthesis around (-8 + 5x2)
-8 + 5x2 + (3x2 + -5 + 7) + -1(x2 + -5x + -3) = 0

Reorder the terms:
-8 + 5x2 + (-5 + 7 + 3x2) + -1(x2 + -5x + -3) = 0

Combine like terms: -5 + 7 = 2
-8 + 5x2 + (2 + 3x2) + -1(x2 + -5x + -3) = 0

Remove parenthesis around (2 + 3x2)
-8 + 5x2 + 2 + 3x2 + -1(x2 + -5x + -3) = 0

Reorder the terms:
-8 + 5x2 + 2 + 3x2 + -1(-3 + -5x + x2) = 0
-8 + 5x2 + 2 + 3x2 + (-3 * -1 + -5x * -1 + x2 * -1) = 0
-8 + 5x2 + 2 + 3x2 + (3 + 5x + -1x2) = 0

Reorder the terms:
-8 + 2 + 3 + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: -8 + 2 = -6
-6 + 3 + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: -6 + 3 = -3
-3 + 5x + 5x2 + 3x2 + -1x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
-3 + 5x + 8x2 + -1x2 = 0

Combine like terms: 8x2 + -1x2 = 7x2
-3 + 5x + 7x2 = 0

Solving
-3 + 5x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
-0.4285714286 + 0.7142857143x + x2 = 0

Move the constant term to the right:

Add '0.4285714286' to each side of the equation.
-0.4285714286 + 0.7142857143x + 0.4285714286 + x2 = 0 + 0.4285714286

Reorder the terms:
-0.4285714286 + 0.4285714286 + 0.7142857143x + x2 = 0 + 0.4285714286

Combine like terms: -0.4285714286 + 0.4285714286 = 0.0000000000
0.0000000000 + 0.7142857143x + x2 = 0 + 0.4285714286
0.7142857143x + x2 = 0 + 0.4285714286

Combine like terms: 0 + 0.4285714286 = 0.4285714286
0.7142857143x + x2 = 0.4285714286

The x term is 0.7142857143x.  Take half its coefficient (0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
0.7142857143x + 0.1275510204 + x2 = 0.4285714286 + 0.1275510204

Reorder the terms:
0.1275510204 + 0.7142857143x + x2 = 0.4285714286 + 0.1275510204

Combine like terms: 0.4285714286 + 0.1275510204 = 0.556122449
0.1275510204 + 0.7142857143x + x2 = 0.556122449

Factor a perfect square on the left side:
(x + 0.3571428572)(x + 0.3571428572) = 0.556122449

Calculate the square root of the right side: 0.745736179

Break this problem into two subproblems by setting 
(x + 0.3571428572) equal to 0.745736179 and -0.745736179.

Subproblem 1
x + 0.3571428572 = 0.745736179

Simplifying
x + 0.3571428572 = 0.745736179

Reorder the terms:
0.3571428572 + x = 0.745736179

Solving
0.3571428572 + x = 0.745736179

Solving for variable 'x'.

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

Add '-0.3571428572' to each side of the equation.
0.3571428572 + -0.3571428572 + x = 0.745736179 + -0.3571428572

Combine like terms: 0.3571428572 + -0.3571428572 = 0.0000000000
0.0000000000 + x = 0.745736179 + -0.3571428572
x = 0.745736179 + -0.3571428572

Combine like terms: 0.745736179 + -0.3571428572 = 0.3885933218
x = 0.3885933218

Simplifying
x = 0.3885933218

Subproblem 2
x + 0.3571428572 = -0.745736179

Simplifying
x + 0.3571428572 = -0.745736179

Reorder the terms:
0.3571428572 + x = -0.745736179

Solving
0.3571428572 + x = -0.745736179

Solving for variable 'x'.

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

Add '-0.3571428572' to each side of the equation.
0.3571428572 + -0.3571428572 + x = -0.745736179 + -0.3571428572

Combine like terms: 0.3571428572 + -0.3571428572 = 0.0000000000
0.0000000000 + x = -0.745736179 + -0.3571428572
x = -0.745736179 + -0.3571428572

Combine like terms: -0.745736179 + -0.3571428572 = -1.1028790362
x = -1.1028790362

Simplifying
x = -1.1028790362

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.3885933218, -1.1028790362}