(8x^2-4x+20)+(6x^2+8x-72)=

Solution for (8x^2-4x+20)+(6x^2+8x-72)= equation:

Simplifying
(8x2 + -4x + 20) + (6x2 + 8x + -72) = 0

Reorder the terms:
(20 + -4x + 8x2) + (6x2 + 8x + -72) = 0

Remove parenthesis around (20 + -4x + 8x2)
20 + -4x + 8x2 + (6x2 + 8x + -72) = 0

Reorder the terms:
20 + -4x + 8x2 + (-72 + 8x + 6x2) = 0

Remove parenthesis around (-72 + 8x + 6x2)
20 + -4x + 8x2 + -72 + 8x + 6x2 = 0

Reorder the terms:
20 + -72 + -4x + 8x + 8x2 + 6x2 = 0

Combine like terms: 20 + -72 = -52
-52 + -4x + 8x + 8x2 + 6x2 = 0

Combine like terms: -4x + 8x = 4x
-52 + 4x + 8x2 + 6x2 = 0

Combine like terms: 8x2 + 6x2 = 14x2
-52 + 4x + 14x2 = 0

Solving
-52 + 4x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-26 + 2x + 7x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-26 + 2x + 7x2)' equal to zero and attempt to solve:

Simplifying
-26 + 2x + 7x2 = 0

Solving
-26 + 2x + 7x2 = 0

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

Divide each side by '7'.
-3.714285714 + 0.2857142857x + x2 = 0

Move the constant term to the right:

Add '3.714285714' to each side of the equation.
-3.714285714 + 0.2857142857x + 3.714285714 + x2 = 0 + 3.714285714

Reorder the terms:
-3.714285714 + 3.714285714 + 0.2857142857x + x2 = 0 + 3.714285714

Combine like terms: -3.714285714 + 3.714285714 = 0.000000000
0.000000000 + 0.2857142857x + x2 = 0 + 3.714285714
0.2857142857x + x2 = 0 + 3.714285714

Combine like terms: 0 + 3.714285714 = 3.714285714
0.2857142857x + x2 = 3.714285714

The x term is 0.2857142857x.  Take half its coefficient (0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
0.2857142857x + 0.02040816328 + x2 = 3.714285714 + 0.02040816328

Reorder the terms:
0.02040816328 + 0.2857142857x + x2 = 3.714285714 + 0.02040816328

Combine like terms: 3.714285714 + 0.02040816328 = 3.73469387728
0.02040816328 + 0.2857142857x + x2 = 3.73469387728

Factor a perfect square on the left side:
(x + 0.1428571429)(x + 0.1428571429) = 3.73469387728

Calculate the square root of the right side: 1.932535608

Break this problem into two subproblems by setting 
(x + 0.1428571429) equal to 1.932535608 and -1.932535608.

Subproblem 1
x + 0.1428571429 = 1.932535608

Simplifying
x + 0.1428571429 = 1.932535608

Reorder the terms:
0.1428571429 + x = 1.932535608

Solving
0.1428571429 + x = 1.932535608

Solving for variable 'x'.

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

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.1428571429 + x = 1.932535608 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + x = 1.932535608 + -0.1428571429
x = 1.932535608 + -0.1428571429

Combine like terms: 1.932535608 + -0.1428571429 = 1.7896784651
x = 1.7896784651

Simplifying
x = 1.7896784651

Subproblem 2
x + 0.1428571429 = -1.932535608

Simplifying
x + 0.1428571429 = -1.932535608

Reorder the terms:
0.1428571429 + x = -1.932535608

Solving
0.1428571429 + x = -1.932535608

Solving for variable 'x'.

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

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.1428571429 + x = -1.932535608 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + x = -1.932535608 + -0.1428571429
x = -1.932535608 + -0.1428571429

Combine like terms: -1.932535608 + -0.1428571429 = -2.0753927509
x = -2.0753927509

Simplifying
x = -2.0753927509

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.7896784651, -2.0753927509}
Solution
x = {1.7896784651, -2.0753927509}