7.08x^6+4.303x^3=9.6

Solution for 7.08x^6+4.303x^3=9.6 equation:

Simplifying
7.08x6 + 4.303x3 = 9.6

Reorder the terms:
4.303x3 + 7.08x6 = 9.6

Solving
4.303x3 + 7.08x6 = 9.6

Solving for variable 'x'.

Reorder the terms:
-9.6 + 4.303x3 + 7.08x6 = 9.6 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
-9.6 + 4.303x3 + 7.08x6 = 0.0

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

Divide each side by '7.08'.
-1.355932203 + 0.6077683616x3 + x6 = 0

Move the constant term to the right:

Add '1.355932203' to each side of the equation.
-1.355932203 + 0.6077683616x3 + 1.355932203 + x6 = 0 + 1.355932203

Reorder the terms:
-1.355932203 + 1.355932203 + 0.6077683616x3 + x6 = 0 + 1.355932203

Combine like terms: -1.355932203 + 1.355932203 = 0.000000000
0.000000000 + 0.6077683616x3 + x6 = 0 + 1.355932203
0.6077683616x3 + x6 = 0 + 1.355932203

Combine like terms: 0 + 1.355932203 = 1.355932203
0.6077683616x3 + x6 = 1.355932203

The x term is 0.6077683616x3.  Take half its coefficient (0.3038841808).
Square it (0.09234559534) and add it to both sides.

Add '0.09234559534' to each side of the equation.
0.6077683616x3 + 0.09234559534 + x6 = 1.355932203 + 0.09234559534

Reorder the terms:
0.09234559534 + 0.6077683616x3 + x6 = 1.355932203 + 0.09234559534

Combine like terms: 1.355932203 + 0.09234559534 = 1.44827779834
0.09234559534 + 0.6077683616x3 + x6 = 1.44827779834

Factor a perfect square on the left side:
(x3 + 0.3038841808)(x3 + 0.3038841808) = 1.44827779834

Calculate the square root of the right side: 1.20344414

Break this problem into two subproblems by setting 
(x3 + 0.3038841808) equal to 1.20344414 and -1.20344414.

Subproblem 1
x3 + 0.3038841808 = 1.20344414

Simplifying
x3 + 0.3038841808 = 1.20344414

Reorder the terms:
0.3038841808 + x3 = 1.20344414

Solving
0.3038841808 + x3 = 1.20344414

Solving for variable 'x'.

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

Add '-0.3038841808' to each side of the equation.
0.3038841808 + -0.3038841808 + x3 = 1.20344414 + -0.3038841808

Combine like terms: 0.3038841808 + -0.3038841808 = 0.0000000000
0.0000000000 + x3 = 1.20344414 + -0.3038841808
x3 = 1.20344414 + -0.3038841808

Combine like terms: 1.20344414 + -0.3038841808 = 0.8995599592
x3 = 0.8995599592

Simplifying
x3 = 0.8995599592

Reorder the terms:
-0.8995599592 + x3 = 0.8995599592 + -0.8995599592

Combine like terms: 0.8995599592 + -0.8995599592 = 0.0000000000
-0.8995599592 + x3 = 0.0000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

Subproblem 2
x3 + 0.3038841808 = -1.20344414

Simplifying
x3 + 0.3038841808 = -1.20344414

Reorder the terms:
0.3038841808 + x3 = -1.20344414

Solving
0.3038841808 + x3 = -1.20344414

Solving for variable 'x'.

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

Add '-0.3038841808' to each side of the equation.
0.3038841808 + -0.3038841808 + x3 = -1.20344414 + -0.3038841808

Combine like terms: 0.3038841808 + -0.3038841808 = 0.0000000000
0.0000000000 + x3 = -1.20344414 + -0.3038841808
x3 = -1.20344414 + -0.3038841808

Combine like terms: -1.20344414 + -0.3038841808 = -1.5073283208
x3 = -1.5073283208

Simplifying
x3 = -1.5073283208

Reorder the terms:
1.5073283208 + x3 = -1.5073283208 + 1.5073283208

Combine like terms: -1.5073283208 + 1.5073283208 = 0.0000000000
1.5073283208 + x3 = 0.0000000000

The solution to this equation could not be determined.This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.